I know this video is 8 years old but now I am in the freshman years of engineering college and I would like to thank you for making these videos they really help get me by in college and I understand well from you, Thanks
Good thing math never goes out of style...just my clothes and hair...lol Thanks for seeking outside help and choosing this channel to sub and learn from and for taking the time to share your appreciation and "thank the teacher"! Please share with your class and teacher too and best of luck with that engineering degree...it's hard work but that hard work will all pay off.
...check out my website and watch soo many videos no more because they are all listed there by subject and chapter...www.ProfRobBob.com ...then please like, sub and share this free resource with everyone...BAM!!!
Exactly what I was looking for! I'm a tutor at my local college, and our intermediate algebra classes are just hitting matrices. In my math classes, we never went over matrices, but now I feel like I understand the concepts enough to help those that come into the tutor center. Thank you very much! I'll be sure to recommend your channel as well =)
I love these testimonials:)...see that smile you just put on my face! Go into that class on Monday and pass that final like BAM!!!...then let me here about that final "A" you get!
If you are taking Calculus I just uploaded a video about First Derivatives and how they allow you to find relative maximums and minimums. If you are in Trig, I would just suggest graphing the function, identify one minimum, and the know they will repeat in intervals equal to the period.
I literally surf alot of videos for matrics and finally i found video to end my surfing era and start understanding..... Everything very easily... Thanks alot for this playlist.... 😊
Seriously, I wish you were my Algebra professor. you make better sense of something that made no sense to me sitting in class with my professor... Thank you!!!
I agree. This whole process is not the fastest or easiest way to solve these problem. I just worked this problem to the identity matrix to match with the work in the first section of my textbook that introduces this process.
Love to hear it...please be sure to like, subscribe, share thru social medias and especially with your teacher and classmates to help us keep growing and helping other motivated students like yourself...BAM!!!
Professor RobBob ,thank for a detail explanation of Matrices and Gaussian-Jordan Elimination Method. This topic is a solid introduction to Linear Algebra/Systems and its applications to systems in the real world. Students in Mathematics, Engineering, Physics and Computer Science should take a course in Linear Algebra.
I like to work on getting zeros down the first column first, other than the first row, and then turn my attention to the second column, and third...so on until the lower left hand corner is zeros and the last coefficient of the last row is 1. I hope that makes sense:)
I wrote just above row 3, small numbers that were all multiplied by -2 so it was 1R(3) + 3R(-2) Thank you for watching and your nice feedback. I hope I cleared up your confusion.
Thank you so much. this really helped me. i was working on a problem for straight 2-3 days and couldn't do it until i watched your video. you're the best.
+KPK003 thanks for seeking outside help and choosing my channel to study with and sub to...hope you continue to find it helpful and if you do, please tell everyone to watch and do the same:D
Dear ProfRobBob, You did it again! I’m finally starting to understand matrices! Your videos continue to make sense of math topics that have stumped me since the day I had to give up on engineering if I was ever to get a college degree (literally, in the days of FORTRAN and punch cards😳).
You made me LOL again :) I haven't answered comments for a month or so and re-read your comment from 6/15...may I ask, are you back in school or just reviewing math for the fun of it? Either way, we appreciate your viewership, support, appreciation and taking the time to comment. Please like, sub and support the ads for any channels that you find helpful or enjoy watching...that's how we grow and help others...BAM!!!
@@profrobbob Not just reviewing, but -thanks to your channel-also learning so much! Topics such as math, physics, and computer science, linguistics have fascinated me... always. I clearly see how important math is needed for a thorough understanding of each of these topics. Soooo, there is a decent chance I will eventually go back to school for a degree in Mathematics. And yes, I’m putting the word out there about your FANTASTIC channel. You are truly inspiring!
@@mathnerdwannabe2494 You are awesome. I am confident that with your natural curiosity of mathematics and a pure math degree is in your future. The application of math in our world is infinite.
@@profrobbob Thank you so much ProfRobBob! You are truly an inspiration in many many ways. I guess that’s what great teachers like you do! Hittin the Calculus now... Thrilled moving beyond where I was stumped several times before.😎
@11:45 Operations I did were: 1. SWAP: R1 and R2. 2. PIVOT: R2 - 3R1. 3. SCALE: -1/7 R2. For Gauss elimination, this would be the end. y = 3, x + 2y = 8..... x = 2 For Gauss-Jordan, one more step: 4. PIVOT: R1 - 2R2 Done.
I am trying to create opposite coefficients so when I add them I get 0's. Think about solving systems of linear equations with elimination. You need to create a pair of opposite coefficients so when I add the equations I can eliminate a variable to make it possible to solve for the remaining variable.
That is a very good question...one which I am not going to have time to look at carefully at the moment. But...if you can show the dot product between two of the vectors is zero you know you have a right angle. I don't work very much with 3 dimensional vectors and I am teaching 4 classes this year at once. Sorry I can't be more helpful at the moment.
You're welcome DatLewdogTho thanks for watching and please help these free educational channels groW and remain free by liking, subbing, supporting the ads and sharing with everyone in your university:D...BAM!!!
ProfRobBob, thank you for being apart of the free/real/detailed math help movement on youtube (I have strove to do the same thing). I am curious and maybe you can help me understand this. Quick background, I never bothered becoming too proficient with the applications of matrices. With that being said, I am very proficient with using substitution & the written out elimination method and I can get the same answers as you are getting with the Gaussian method. My question is: What is the real advantage to using the Gaussian method, other than just less writing of the variables? Or is that basically it? Just to speed up the process? I follow what you're doing and it basically just seems like a way of organizing the multiples of the equations while trying to find a combination that will cancel out enough variables leaving just one that you can solve for. I suppose it gets even more useful with more equations and more variables? Then my way would admittedly get complex (but still a fun puzzle!). Last question, for now: Are there any further benefits, in general, to learning operations with matrices? Or are they all really just shortcuts for something else? That is the one topic that I admittedly never gave a chance.
Hello Mr. Phelps. I am with you in that I don't work with matrices that much either. As a high school math teacher, it is not in the pacing guides of Algebra 2 or Precalculus. Over the summer, one of the things I want to do is work on the matrix chapter of my PreCalc book and complete this part of my playlist. I look at matrices as a short cut too. Cramer's rule can really speed up the process for solving 3x3's for example. ua-cam.com/video/MM5L3a1xjTg/v-deo.html I believe matrices are very handy in computer applications, graphics, etc. I took a linear algebra class in college but that was over 20 years ago:O
+ProfRobBob I guess the girls don't like me studying then... ;) I jest lol. But yes it does mean good grades -- straight A's, Thanks to videos like yours...BAM!!!
while adding 2 matrices, if they are not comparable , why dont we just add zeroes and make them comparable . for ex {1 2 3 } + {4 2 9 9 1 } = {1 2 3 0 0 } + {4 2 9 9 1 } = {5 4 12 9 1 } . i know " it is a human made application " thing but this will make working with matrices more wide ranging and applicable . and of course BAM !!
I don't work with matrices on a daily basis...or even year to year. They are not in the pacing guides of any of the classes I teach. Because of this I cannot rattle off a really good reason off the top of my head of why you cannot add matrices with different dimensions. I can say that they are describing different things, like matrices can be a short hand way of writing systems of equations so just adding in zeros would be like adding random new equations to a system of equations. WHHOOO, maybe I just came up with an example:) Otherwise I can just simply repeat what you will see in your textbooks and other places on the internet, that by definition matrices must have equal dimensions to add them. Hope this BAM enough, haha:D
Ayush Atri If you are solving a 3x3 matrix for example, you are basically solving for where three planes intersect. If there is three unique values like x=2, y=4, and z=1 that would mean the three planes are intersecting at that point in 3 dimensional space. To just introduce another equation to the system would change the answer.
I'm partially confused, right at 17:30 when solving for in row 3 column 1, couldn't you multiply 2 by negative 1/2 and then add it to 1 to get zero? Similar to the same method for row two?
That's awesome...glad you found this so helpful and THANK YOU so much Andy for offering to recommend my channel as well. My wife and I are working very hard to groW my channel and the additional support of viewers like yourself certainly does help with those efforts:)...and please remind them it's important to "subscribe" & "like" to continue to help that growth:D You are offering a great service as well...keep learning and sharing that knowledge!
Thanks for watching, learning and subbing PITSI ELIAS ! Please tell your friends and classmates about my channel and remind them to like, subscribe and support the ads too:D
Nothing to be afraid of wael Adel now that you found #ProfRobBob ...BAM!!! You're welcome from Florida:) Thanks for choosing my channel to watch and learn from and I hope you will like, subscribe, support the ads, and spread the word about my channel with others:D
BaptiseLeGrand I'm currently in my 19th year of teaching and still love the live interaction of classroom teaching...but UA-cam teaching has taken the passion for teaching to a new level...but it's a lot of long hours and hard work to build and groW an educational channel! You don't often see a math video going viral...lol But my wife and I continue to work hard and our dream is to someday see an "M" next to our subscriber count...BAM!!!
ProfRobBob That would be truly awesome! The opportunities the internet affords teachers like you, or Sal Khan, or so many others, are virtually limitless, and it is truly inspiring to see how so many young people watch these videos and get encouraged to see math and science for what they really are: the incarnation of human curiosity, one of the most important things one can pursue, and just plain awesome to boot! I got inspired by people like you, some years ago, to go into science and I am incredibly grateful for that. Keep up the good work, keep helping people overcome their fear of math and science, it's of the utmost importance and can't be overstated!
BaptiseLeGrand Thanks for the inspiring words and you can count on us to keep those videos coming and turning the fear of math into fun...one BAM!!! at a time:)...thru the support and motivation of people like you!
Dear Prof. What is our core point choosing matrices method over easy way of solving simultaneously for equations with 2 or 3 unknown variables. Only curious on the reason.
Whats up Prof RobBob thank you for the video! Your energy makes the subject less intimidating, bam! My question is, on the last problem that you let us do by ourselves you do your work on the row to make a 0 and then list the answer on the bottom with the arithmetic you performed next to it. So my question is on the first set it appears you multiplied 1R(3) + 3R but you have next to row 3, 3R, -2R(3) is that correct? what am I seeing wrong there?
as I understood, it is always easier and faster not to do solving the problem with an Indentity marix in this example, because you have alot of time to go. Better just to cancel numbers with Gaussian elimination till you get only X-es, Y-es and Z-es alone.
(Funny, I just answered another comment from you...and there you go again, making me laugh!...I could even hear the accent in your quote:) I wish I had more for you to watch because there is so much more about matrices:( But with over 400 videos you should be able to find something else to watch:D Thanks for watching and I hope you will continue to enjoy learning from Tarrou's Chalk Talk and share with your friends!!!
Hey Rob your an awesome teacher! But I was wondering at @08:43 why you always have to add the second and first row. Couldn't you subtract Row2 from Row1 to get 0? Thanks a lot from the UK! :)
Yes I could have done that:) Sorry I missed your question. I am teaching 4 different subjects this year, and AP Calculus AB is one of those classes for the first time:O Thanks for watching all the way from the UK!
Awais Ali shah you're welcome and thank you for choosing #ProfRobBob to learn from, like and sub to! Keep watching, sharing and building that confidence and you will be soon be passing that class like BAM!!!
This is ProfRobBob...lol ...but I don't really know, I'm an only child raised by a single mother...maybe some irish and french but a mix for sure:) Thanks for watching...please like, sub and continue spreading the word about this channel...BAM!!!
If I knew anything about what you were asking I would explain that to you!!! After 20 years of teaching high school I have forgotten much about the concepts you are asking about.
So at 8:50 you said that its basically up to us what formula to use first so long as we get the diagonal 1s and 0s? Also is Gaussian elimination back substitution the same with gauss-jordan elimination?
You're welcome Evan N. thanks for tuning in...please share this free resource with everyone and remind them all to like, sub and share thru social medias to help us grow and remind free...BAM!!!
I don't find the process terribly difficult, just finishing one of these tedious problems without making a sign error/carless error is my challenge. Not until I started reviewing and teaching Calculus this year have I found other problems where making a tiny mistake can lead to such large errors, and then finding those errors so difficult to find.
thank you so much sir from bottom of my heart and sir your dressing style is really nice one qestion sir is there any rule to make row or coloumn 0and 1 to get the desire answer because i am confuse at what time to make coloumn or row 1and0 to get the desire answer
Isn't this a Gauss-Jordan elimination? With a Gaussian elimination you turn the matrix into row echelon form, but here you turn it into an identity matrix, which then is called a Gauss-Jordan elimination I think.
BAM!!! You're welcome Laura Lambart thanks for liking and please don't forget to SUBSCRIBE and share my channel with everyone looking for FREE math help!
Good work man it really helped me .. God bless you alot... I just have one question, after finishing every question what do you shout when you run out... :)
Hmm.. anyway.. tried calculating it in another way which gave me the same result.. which is the main point of solving equations.. Thank you for your response
In your last example (home work) I noticed the 2 on top of R1, how did it turn into a 1 to get x = 0, y = 0 and Z = 4? I can see it works but don't get the step turn the 2 into a 1.
ProfRobBob The video, in fact all your classes are so much helpful, but if you could kindly focus a bit more on the introduction and pre-concepts required. Also, if some classes like that of-Funtions,etc could me made using the International Baccalaureate Syllabus. Though Great Job!! Respect #ProfRobBob
Rithwik Aryan I do cover more detailed notes in my newer videos and you might find subject/chapter easier to follow thru my website at www.profrobbob.com I teach AP classes and am not familiar with the IB syllabus but I know there is some crossover, sorry:( Thanks for watching.
well, I went thru your website and it's amazing! Really, the newer videos of yours have a much deeper impact and are really great! Thank you and an excellent job- I must mention! Respect#ProfRobBob
Is their a certain set of steps you should always take once written in Matrix form? Should I always begin by eliminating "zeroing" the first columns coefficients, as you did in the video? I would like steps that are consistent, is that possible.
Hi, First I want to say thank you for this video. I have a better understanding now. However, I only watched the first half of the video. That being said for the first system of equations 3x-y=3 etc....Can you please explain to me how and why did you use the numbers you did. Such as 2R1 or 1/7R1. Why those numbers? and with a different system of equations do I use those same numbers?? Please help!!! I was always horrible at math and I am taking MTH/220 for my degree program.
actually it is NOT necessary to have 0s, above the diagonal line of 1s. According to wiki, it is enough to have 0s, under the diagonal line of 1s. When this has occurred, then the other variables can be solved simply by inputting the one known variable.
Is there another way of getting the identity matrix by getting 1 in the 1st left hand corner, then clear the column and repeat the process...instead of working backwards
dan199122 I don't work with matrices a whole lot, and this is the process I work through. Play around with some problems until you get comfortable with them.
I know this video is 8 years old but now I am in the freshman years of engineering college and I would like to thank you for making these videos they really help get me by in college and I understand well from you, Thanks
Good thing math never goes out of style...just my clothes and hair...lol
Thanks for seeking outside help and choosing this channel to sub and learn from and for taking the time to share your appreciation and "thank the teacher"!
Please share with your class and teacher too and best of luck with that engineering degree...it's hard work but that hard work will all pay off.
You're the only professor/teacher that i consistently watch and don't fall asleep during. And, you teach well.
+Austin Birt thanks for choosing my channel to study with...BAM!!!
Please like, sub and share to help us keep growing:D
+Austin Birt im with u on that...he's a great teacher.
+masana naomi thanks:)
Don't forget to like, sub and share to show your support:D
I watched soo many videos but your video was the only one where I understood everything! THANKS!
...check out my website and watch soo many videos no more because they are all listed there by subject and chapter...www.ProfRobBob.com
...then please like, sub and share this free resource with everyone...BAM!!!
Exactly what I was looking for! I'm a tutor at my local college, and our intermediate algebra classes are just hitting matrices. In my math classes, we never went over matrices, but now I feel like I understand the concepts enough to help those that come into the tutor center. Thank you very much! I'll be sure to recommend your channel as well =)
You have no idea how much your videos help me. Thank you!
+Kenny Underman you're welcome...thanks for liking, studying and subbing to this channel...please help us grow by sharing it with everyone:D
I love these testimonials:)...see that smile you just put on my face!
Go into that class on Monday and pass that final like BAM!!!...then let me here about that final "A" you get!
If you are taking Calculus I just uploaded a video about First Derivatives and how they allow you to find relative maximums and minimums. If you are in Trig, I would just suggest graphing the function, identify one minimum, and the know they will repeat in intervals equal to the period.
I literally surf alot of videos for matrics and finally i found video to end my surfing era and start understanding..... Everything very easily... Thanks alot for this playlist.... 😊
Seriously, I wish you were my Algebra professor. you make better sense of something that made no sense to me sitting in class with my professor... Thank you!!!
I agree. This whole process is not the fastest or easiest way to solve these problem. I just worked this problem to the identity matrix to match with the work in the first section of my textbook that introduces this process.
Great channel!!!! I LOVE your math tutorials!!!! Pre-Calc seemed so hard until I started watching your tutorials.
Love to hear it...please be sure to like, subscribe, share thru social medias and especially with your teacher and classmates to help us keep growing and helping other motivated students like yourself...BAM!!!
I'm hoping to have this same experience, I'm drowning....LOL!
Professor RobBob ,thank for a detail explanation of Matrices and Gaussian-Jordan Elimination Method. This topic is a solid introduction to Linear Algebra/Systems and its applications to systems in the real world. Students in Mathematics, Engineering, Physics and Computer Science should take a course in Linear Algebra.
Still haven't seen the whole video, but I know at 4 minutes that I'll finally understand. :)
That's how good you are at teaching!
Thanks for studying and liking this channel...please sub and share it with everyone...classmates, friends and teachers too...BAM!!!
Thank you for watching and learning:) It is my pleasure to be able to help you.
You are a great teacher. Very informative, and easy to understand! Thank you for your help!
angela1madrid you're welcome and thanks for choosing my channel to learn from and sub to:)
Spread the word:D
I like to work on getting zeros down the first column first, other than the first row, and then turn my attention to the second column, and third...so on until the lower left hand corner is zeros and the last coefficient of the last row is 1. I hope that makes sense:)
I wrote just above row 3, small numbers that were all multiplied by -2 so it was 1R(3) + 3R(-2) Thank you for watching and your nice feedback. I hope I cleared up your confusion.
Thank you so much! I'm taking a "Computer Learning" MOOC given by Stanford. Your videos have been extremely helpful.
When i got it right, i was like, "i can do anything!!!!" I was soooo happy. Thank you so much your videos are super helpful.
Cierra Presson you're welcome!
Next time you get one right I want to hear a...BAM!!!
Thank you so much. this really helped me. i was working on a problem for straight 2-3 days and couldn't do it until i watched your video. you're the best.
+KPK003 thanks for seeking outside help and choosing my channel to study with and sub to...hope you continue to find it helpful and if you do, please tell everyone to watch and do the same:D
Dear ProfRobBob,
You did it again!
I’m finally starting to understand matrices!
Your videos continue to make sense of math topics that have stumped me since the day I had to give up on engineering if I was ever to get a college degree (literally, in the days of FORTRAN and punch cards😳).
You made me LOL again :)
I haven't answered comments for a month or so and re-read your comment from 6/15...may I ask, are you back in school or just reviewing math for the fun of it? Either way, we appreciate your viewership, support, appreciation and taking the time to comment.
Please like, sub and support the ads for any channels that you find helpful or enjoy watching...that's how we grow and help others...BAM!!!
@@profrobbob Not just reviewing, but -thanks to your channel-also learning so much! Topics such as math, physics, and computer science, linguistics have fascinated me... always. I clearly see how important math is needed for a thorough understanding of each of these topics. Soooo, there is a decent chance I will eventually go back to school for a degree in Mathematics.
And yes, I’m putting the word out there about your FANTASTIC channel. You are truly inspiring!
@@mathnerdwannabe2494 You are awesome. I am confident that with your natural curiosity of mathematics and a pure math degree is in your future. The application of math in our world is infinite.
@@profrobbob Thank you so much ProfRobBob! You are truly an inspiration in many many ways. I guess that’s what great teachers like you do!
Hittin the Calculus now... Thrilled moving beyond where I was stumped several times before.😎
Clear and smooth, Perfect teaching.
Chanaka Jayetileke :)
You are very welcome! Thanks for watching:)
I've always had trouble solving these, but after watching this, it makes sense!
+themadjem glad I could help...and thanks for studying and subbing!
Please spread the word:D
@11:45 Operations I did were:
1. SWAP: R1 and R2.
2. PIVOT: R2 - 3R1.
3. SCALE: -1/7 R2.
For Gauss elimination, this would be the end. y = 3, x + 2y = 8..... x = 2
For Gauss-Jordan, one more step:
4. PIVOT: R1 - 2R2
Done.
Great video as always
Thanks for your continued support and for subbing!
I am trying to create opposite coefficients so when I add them I get 0's. Think about solving systems of linear equations with elimination. You need to create a pair of opposite coefficients so when I add the equations I can eliminate a variable to make it possible to solve for the remaining variable.
best explanation I've seen so far.
Thank you very much for watching and your kind words😀
That is a very good question...one which I am not going to have time to look at carefully at the moment. But...if you can show the dot product between two of the vectors is zero you know you have a right angle. I don't work very much with 3 dimensional vectors and I am teaching 4 classes this year at once. Sorry I can't be more helpful at the moment.
Haha...thank you very much and thank you for watching:)
Thanks for choosing!
Brilliant! Thank you, im in my first year of university and just started matricies. So helpful :)
You're welcome DatLewdogTho thanks for watching and please help these free educational channels groW and remain free by liking, subbing, supporting the ads and sharing with everyone in your university:D...BAM!!!
Out of just everything, I so loved his entry!! :P
Thank you so much! Your channel is helping me so much through my Discrete Math course.
You're welcome, glad you are finding it helpful derlama12 thanks for choosing #ProfRobBob to learn from and I hope I can earn a new subscriber too!
You already did!
ProfRobBob, thank you for being apart of the free/real/detailed math help movement on youtube (I have strove to do the same thing).
I am curious and maybe you can help me understand this. Quick background, I never bothered becoming too proficient with the applications of matrices. With that being said, I am very proficient with using substitution & the written out elimination method and I can get the same answers as you are getting with the Gaussian method.
My question is: What is the real advantage to using the Gaussian method, other than just less writing of the variables? Or is that basically it? Just to speed up the process? I follow what you're doing and it basically just seems like a way of organizing the multiples of the equations while trying to find a combination that will cancel out enough variables leaving just one that you can solve for.
I suppose it gets even more useful with more equations and more variables? Then my way would admittedly get complex (but still a fun puzzle!).
Last question, for now: Are there any further benefits, in general, to learning operations with matrices? Or are they all really just shortcuts for something else? That is the one topic that I admittedly never gave a chance.
Hello Mr. Phelps. I am with you in that I don't work with matrices that much either. As a high school math teacher, it is not in the pacing guides of Algebra 2 or Precalculus. Over the summer, one of the things I want to do is work on the matrix chapter of my PreCalc book and complete this part of my playlist. I look at matrices as a short cut too. Cramer's rule can really speed up the process for solving 3x3's for example. ua-cam.com/video/MM5L3a1xjTg/v-deo.html I believe matrices are very handy in computer applications, graphics, etc. I took a linear algebra class in college but that was over 20 years ago:O
At this point you probably think I am stalking all your videos.... because I am; excellent video on Matrices and keep up the good work.
+Shawn Ray stalking means studying and that equals good grades...BAM!!!
+ProfRobBob I guess the girls don't like me studying then... ;) I jest lol. But yes it does mean good grades -- straight A's, Thanks to videos like yours...BAM!!!
+Shawn Ray :)
while adding 2 matrices, if they are not comparable , why dont we just add zeroes and make them comparable . for ex {1 2 3 } + {4 2 9 9 1 } = {1 2 3 0 0 } + {4 2 9 9 1 } = {5 4 12 9 1 } . i know " it is a human made application " thing but this will make working with matrices more wide ranging and applicable . and of course BAM !!
I don't work with matrices on a daily basis...or even year to year. They are not in the pacing guides of any of the classes I teach. Because of this I cannot rattle off a really good reason off the top of my head of why you cannot add matrices with different dimensions. I can say that they are describing different things, like matrices can be a short hand way of writing systems of equations so just adding in zeros would be like adding random new equations to a system of equations. WHHOOO, maybe I just came up with an example:) Otherwise I can just simply repeat what you will see in your textbooks and other places on the internet, that by definition matrices must have equal dimensions to add them. Hope this BAM enough, haha:D
but its just a zero so it does not alter the value of anything
Ayush Atri If you are solving a 3x3 matrix for example, you are basically solving for where three planes intersect. If there is three unique values like x=2, y=4, and z=1 that would mean the three planes are intersecting at that point in 3 dimensional space. To just introduce another equation to the system would change the answer.
Thanks for choosing Tarrou's Chalk Talk to watch!
I'm partially confused, right at 17:30 when solving for in row 3 column 1, couldn't you multiply 2 by negative 1/2 and then add it to 1 to get zero? Similar to the same method for row two?
That's awesome...glad you found this so helpful and THANK YOU so much Andy for offering to recommend my channel as well. My wife and I are working very hard to groW my channel and the additional support of viewers like yourself certainly does help with those efforts:)...and please remind them it's important to "subscribe" & "like" to continue to help that growth:D You are offering a great service as well...keep learning and sharing that knowledge!
if 3i-4j-4k 2i-j+k and i-3j-5k are the position vectors A B and C of triangle ABC show that triangle ABC is a right angled triangle
this is really help full coz at our varty we do a different methods.i really enjoy ur videos
Thanks for watching, learning and subbing PITSI ELIAS !
Please tell your friends and classmates about my channel and remind them to like, subscribe and support the ads too:D
I'm afraid of this matrices but when I saw this video. I understand how to solve that.. Thank u ... Wael from egypt
Nothing to be afraid of wael Adel now that you found #ProfRobBob ...BAM!!!
You're welcome from Florida:) Thanks for choosing my channel to watch and learn from and I hope you will like, subscribe, support the ads, and spread the word about my channel with others:D
Damn, that is a sweet handwriting!
THANKS, I even have a video teaching my style of cursive calligraphy!...And thanks for subbing too:)
No problem! You're a great teacher, and the way math is taught in most schools these days, more guys like you are sorely missed. More power to you!
BaptiseLeGrand I'm currently in my 19th year of teaching and still love the live interaction of classroom teaching...but UA-cam teaching has taken the passion for teaching to a new level...but it's a lot of long hours and hard work to build and groW an educational channel! You don't often see a math video going viral...lol
But my wife and I continue to work hard and our dream is to someday see an "M" next to our subscriber count...BAM!!!
ProfRobBob That would be truly awesome! The opportunities the internet affords teachers like you, or Sal Khan, or so many others, are virtually limitless, and it is truly inspiring to see how so many young people watch these videos and get encouraged to see math and science for what they really are: the incarnation of human curiosity, one of the most important things one can pursue, and just plain awesome to boot! I got inspired by people like you, some years ago, to go into science and I am incredibly grateful for that. Keep up the good work, keep helping people overcome their fear of math and science, it's of the utmost importance and can't be overstated!
BaptiseLeGrand Thanks for the inspiring words and you can count on us to keep those videos coming and turning the fear of math into fun...one BAM!!! at a time:)...thru the support and motivation of people like you!
Dear Prof. What is our core point choosing matrices method over easy way of solving simultaneously for equations with 2 or 3 unknown variables. Only curious on the reason.
You are welcome.
I love the way you explain. Very very helpful!
Thank you very much! You saved me once again! ;)
Whats up Prof RobBob thank you for the video! Your energy makes the subject less intimidating, bam! My question is, on the last problem that you let us do by ourselves you do your work on the row to make a 0 and then list the answer on the bottom with the arithmetic you performed next to it. So my question is on the first set it appears you multiplied 1R(3) + 3R but you have next to row 3, 3R, -2R(3) is that correct? what am I seeing wrong there?
as I understood, it is always easier and faster not to do solving the problem with an Indentity marix in this example, because you have alot of time to go. Better just to cancel numbers with Gaussian elimination till you get only X-es, Y-es and Z-es alone.
(Funny, I just answered another comment from you...and there you go again, making me laugh!...I could even hear the accent in your quote:)
I wish I had more for you to watch because there is so much more about matrices:( But with over 400 videos you should be able to find something else to watch:D Thanks for watching and I hope you will continue to enjoy learning from Tarrou's Chalk Talk and share with your friends!!!
Hey Rob your an awesome teacher! But I was wondering at @08:43 why you always have to add the second and first row. Couldn't you subtract Row2 from Row1 to get 0?
Thanks a lot from the UK! :)
Yes I could have done that:) Sorry I missed your question. I am teaching 4 different subjects this year, and AP Calculus AB is one of those classes for the first time:O Thanks for watching all the way from the UK!
wow thanks helped me a lot
especially when I solved the last problem correctly that gave me a lot of confidence
Awais Ali shah you're welcome and thank you for choosing #ProfRobBob to learn from, like and sub to! Keep watching, sharing and building that confidence and you will be soon be passing that class like BAM!!!
you make my life easy I swear!!
BAM!!! Rozeen Aram
Thanks for watching, learning and subbing...please keep spreading the word:D
I wish you were my teacher you rock and have fun!
Please like, sub and share to show your support and help us keep growing and remain free for everyone:D
Your book might just call it the elimination method. You should find it in an advanced algebra 2 book or Precalculus book.
Wonderful lecture, what is your nationality professor Leonard
This is ProfRobBob...lol
...but I don't really know, I'm an only child raised by a single mother...maybe some irish and french but a mix for sure:)
Thanks for watching...please like, sub and continue spreading the word about this channel...BAM!!!
thanks for the video! it's really useful for my matrices revision :)
You're welcome!
Thanks Prof...you have done..a very good job..prof..thanks..
+Jerix Panganiban you're welcome, thanks for watching!
He always has nice shirts! my favorite is the "I don't know what I'm doing out of bed" one
Hi, you are a great teacher, you make Math seems easy. I wonder if you can explain to me about Quaternions, and how to convert it into Euler angles?
If I knew anything about what you were asking I would explain that to you!!! After 20 years of teaching high school I have forgotten much about the concepts you are asking about.
So at 8:50 you said that its basically up to us what formula to use first so long as we get the diagonal 1s and 0s? Also is Gaussian elimination back substitution the same with gauss-jordan elimination?
Yes...and I believe Yes:)
Your videos are excellent! Oh and those pants rock.
Derek Staal THANK YOU:)
...and thanks for watching, learning, liking and subbing...BAM!!!
Spread the word!
Thanks, informative and well done video :)
You're welcome Evan N. thanks for tuning in...please share this free resource with everyone and remind them all to like, sub and share thru social medias to help us grow and remind free...BAM!!!
Thanks bob for an awesome video.i really enjoyed watching and learned a lot. i am going to crack gate this time. thanks again.............
You're welcome kundan kumar thanks for watching, learning and I hope you continue to find my lessons helpful:)
awesome i love lengthy and tedious problems and then u get it right and u get that awesome feeling hahah lol
...that's when I say BAM!!!
Excellent video, thank you for the help.
Lenny Shelby you're welcome and thanks for watching!
This is going to take a lot of practice for me! IMO, this is probably the most difficult concept I ever have to learn.
I don't find the process terribly difficult, just finishing one of these tedious problems without making a sign error/carless error is my challenge. Not until I started reviewing and teaching Calculus this year have I found other problems where making a tiny mistake can lead to such large errors, and then finding those errors so difficult to find.
Algebra 2 or above in High School or Linear Algebra in College.
thank you so much sir from bottom of my heart and sir your dressing style is really nice
one qestion sir is there any rule to make row or coloumn 0and 1 to get the desire answer
because i am confuse at what time to make coloumn or row 1and0 to get the desire answer
Dude u got me pass calculus you are my secret college professor
Glad I could help but please don't keep us a secret...SUB and share this free resource with everyone, especially your professor:D
Thanks prof rob much appreciated.
+Clinton Pillay you're welcome and thanks for watching, learning and subbing!
Keep spreading the word:D
Isn't this a Gauss-Jordan elimination?
With a Gaussian elimination you turn the matrix into row echelon form, but here you turn it into an identity matrix, which then is called a Gauss-Jordan elimination I think.
What's the difference between Gaussian Elimination and the Gauss-Jordan Method? Thanks!
Same thing, different name:)
Bam! Saved my life Mr. Tarrou
+backdraftvideos thanks for taking the time to study!
I got the right answer! Thank you for your life saver video :D
BAM!!!
You're welcome Laura Lambart thanks for liking and please don't forget to SUBSCRIBE and share my channel with everyone looking for FREE math help!
Thanks...my wife loves thrifting and finds all my funny shirts for me:)
I see you're watching more videos already...next test, A+!!!
Good work man it really helped me .. God bless you alot... I just have one question, after finishing every question what do you shout when you run out... :)
Adnan Amer BAM!!! Go do your homework!
Thanks for watching and please don't forget to like, subscribe and spread the word about this channel :D
Oh ok thanks yeah doing it
Adnan Amer :)
Beautiful handwritting .
THANKS..I have lessons on that too...BAM!!!
thanks i have exam on 23 next week thanks it is very helpful .
hamdard zabuli I know you'll do great after all this studying you're still doing :)
Hmm.. anyway.. tried calculating it in another way which gave me the same result..
which is the main point of solving equations.. Thank you for your response
In your last example (home work) I noticed the 2 on top of R1, how did it turn into a 1 to get x = 0, y = 0 and Z = 4? I can see it works but don't get the step turn the 2 into a 1.
ProfRobBob The video, in fact all your classes are so much helpful, but if you could kindly focus a bit more on the introduction and pre-concepts required. Also, if some classes like that of-Funtions,etc could me made using the International Baccalaureate Syllabus. Though Great Job!! Respect #ProfRobBob
Rithwik Aryan I do cover more detailed notes in my newer videos and you might find subject/chapter easier to follow thru my website at www.profrobbob.com I teach AP classes and am not familiar with the IB syllabus but I know there is some crossover, sorry:(
Thanks for watching.
well,
I went thru your website and it's amazing! Really, the newer videos of yours have a much deeper impact and are really great! Thank you and an excellent job- I must mention! Respect#ProfRobBob
Rithwik Aryan you're very welcome!
Is their a certain set of steps you should always take once written in Matrix form? Should I always begin by eliminating "zeroing" the first columns coefficients, as you did in the video? I would like steps that are consistent, is that possible.
There is a little bit of flexibility, but I do prefer the sequence I followed in this lesson.
+ProfRobBob is there a difference between normal elimination and gaussian elimination?
+Supachai Abusali just a fancy name.
+ProfRobBob oh thank you so much Sir, I was very confused :)
+Supachai Abusali glad I could help!
Thank you:) I hope I at least wrote it correctly.
thank you for making this video. helped alot :)
It appears that you had the solution in the 2nd matrix when y = 0. Then x=2 and y=3 after back substitution.
Great handwriting ... Did you study calligraphy or someting
+Phumudzo Muvhango THANKS...yes I was lucky enough to have learned it in high school:) I'm THAT old...lol
Hi, First I want to say thank you for this video. I have a better understanding now. However, I only watched the first half of the video. That being said for the first system of equations 3x-y=3 etc....Can you please explain to me how and why did you use the numbers you did. Such as 2R1 or 1/7R1. Why those numbers? and with a different system of equations do I use those same numbers?? Please help!!! I was always horrible at math and I am taking MTH/220 for my degree program.
hello is there a video for finding minimum and maximum values of sine and cosine??
my great teacher
Thanks for watching...please sub and share too:)
That 4 was positive...not negative.
Thanks Bud. BAM ! ! ! ! ! !
You are welcome 😊
actually it is NOT necessary to have 0s, above the diagonal line of 1s.
According to wiki, it is enough to have 0s, under the diagonal line of 1s. When this has occurred, then the other variables can be solved simply by inputting the one known variable.
I agree, that is what I was discussing at minute 21:28. I just continued the problem until I achieved the identity matrix!
Got final exam tomorrow morning. vectors are damn scary
olga el hope you pass it like BAM!!!
ProfRobBob haha
really tried enough, hope its will
be okay
olga el keep studying and stay confident:)
Is there another way of getting the identity matrix by getting 1 in the 1st left hand corner, then clear the column and repeat the process...instead of working backwards
dan199122 I don't work with matrices a whole lot, and this is the process I work through. Play around with some problems until you get comfortable with them.
What kind of text book would i find gaussian elimination in?
Thank you!
+Клинт Иствуд you'e welcome and THANK YOU for watching, liking and subbing too!
thank you sir, I was confused too not anymore :)