Matrices - Free Formula Sheet: bit.ly/3UE9Cmk Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ua-cam.com/video/eYSASx8_nyg/v-deo.html
@@master_baiter1873 well he’s not going to do ypur homework for you :D. I usually watch the video to learn the basic concepts and then go through the examples and exercises given in class. I then use his examples to boost my confidence the morning of the test. Seems stupid but its gotten me through Physics 5 so…
I have an exam tomorrow,and I’ve been trying to learn this from scripts of my teacher for 3 hours and there is a guy like you that teach me all the stuff for 18 minutes.I wish you a good health and life.Thank you
This seems to be a common misunderstanding with matrices. *Echelon form is simply the final matrix after you've finished Gauss elimination* . (The matrix at 6:10.) It need only have 0's in the lower left-hand corner. *There is no requirement to have 1's along the main diagonal because they do not help in solving the problem* . They are simply wasted operations and are not done in practice. (Unless you want to do Gauss-Jordan elimination... which is also not used in practice.) People seem to confuse the two. You only need 1's on the main diagonal if you're prepping for Gauss-Jordan elimination which then transforms the numbers in the upper right corner of the matrix to 0's as well. If you're not doing Gauss-Jordan, then don't worry about having 1's. *Once you obtain the matrix @**6:10**, then we know that 4z = 8 and therefore z = 8/4 = 2* . From there we use back substitution to solve for the remaining variables. FYI: This is straight out of my math textbook if you don't believe me. *Source: Advanced Engineering Mathematics by Erwin Kreyszig*
TIP: The *scale* operation is your friend! As soon as you start getting into non-trivial matrices where the coefficients don't eliminate nicely, use the scale operation to get them up to a common value and then eliminate them. This helps you avoid ugly fractions and awful decimal numbers that have infinite precision. For example, consider the following system of equations: x + y - z = 9 8y + 6z = -6 -2x + 4y - 6z = 40 Without using the scale operation, you'll hit a wall by about step 3.
يبني والله ال انت بتعمله ده عظمه فشخ ربنا يخليك لينا كلنا بنحبك والله كل ال في هندسة حلوان المطرية بيحبوك والله و بيشكروك على مجهودك معانا انت راجل محترم و ربنا هيكرمك و هيخلي عيالك يبقوا احسن ناس في الدنيا حبيبي يا دوك
All thanks to you sir ,now am doing my Electrical Power Engineering National diploma all because of you ... I passed my o levels thank to you ... God bless you❤❤❤❤❤❤
Thank you Jesus my redeemer for revealing this to me after hours or practicing! Guys, you have to use the columns. Literally go from row 1 column 1 and make this value =0 (or interchange rows if necessary), then go down in column 1 and use a relationship with respect to row 1 to get a value. Continue until all values below the initial '1' are =0, then move to column 2 and establish a diagonal (similar to an identity matrix below the diagonal, but with the updated values above the '1' diagonal.) I trust this hopes, keep practising and you WILL get it. Live excellently and don't give up hope!
One of the most humble educators that we're blessed with! A heartfelt Respect to your dedication and patience because a lot of us will survive much longer in math, or even feeling more motivated!! 🍭
I just wanna say, you've helped me so much over the past year. Precalc, calc 1, a calc 2 crash course over the summer, and now linear algebra. I doubt i'd of been able to understand everything as much as I do now without your videos helping us walk through each new method and idea. Thank you for taking the time you have to help us learn
I am in maths major and this year is my second year in this department. Before online education, I was learning with your videos. Actually my college is very hard but you solve easy question,so I love your videos, because I feel like I am a paradox in class of my teachers. It is very awful situation. I am so glad to discover this channel thanks the organic chemistry tutor
My prof. explained this to me 3 times and I didn't get it, watched your video one time and figured it out instantly. Perfect job on the tutorial, thank you!!!
For the people that get confused at 10:50: 'R3 = R1-R3 is the same as 'R3 = -R3 + R1. He writes it in a different way, but you're still working on 3R in both cases
@@sreekumarnair-rl2wo i think its because you have to write the ending row (R3) at the end of your operation, he explained it in another matrix vid, i think its the row operation vid
MR. Organic Chemistry Tutor, this is an excellent introduction to the Gaussian Elimination Method and Row Echelon Form in classical Linear Algebra. Linear Algebra is very useful in different levels of mathematics.
ive been a university student for 3 years now. Organic chemistry tutor is awesome! I remember the morning of a Calc two exam, other students asking how each other felt... I told them i reviewed some organic chemistry tutor videos their jaws dropped!!! hahaha. they didnt realise u did math lol. I love you man keep it up!
Words can not describe the way this man has helped me get through all of my studies. At this point i don't even know why i go to lectures when i know that this channel has got my back.
Hope it went well. And for those students out there that want some more practice on Gaussian Elimination, I've made a video where I solve such exercises step-by-step. It might help some :) ua-cam.com/video/nyWp9sr8uGE/v-deo.html
Thank you so much for the explanation! I can't understand this in my textbook and all and you only took 20 minutes for me to completely understand this concept!
Even after 6 years he still explains better than teacher and textbooks You got both my respect and my like Thanks for helping me through the hell of math and chemistry
I literally didn't understand how this worked and my professor never really did any problems out. Watching you solve it made it seem so trivial. Thank you so much!! You are amazing
Oh man, this just smacked me in the face, in a good way. Great breakdown. I am embarrassed to admit how much time I wasted with other resources before coming to this channel. I won't make that mistake again. Thanks for the insight!!
Great video! Only advice would be explain what you can do to simplify the matrix into row echelon form. For anyone watching, these are 1) You can swap the rows (you CANNOT swap the columns) 2) You can multiply the rows by any constant (in a similar way you would when solving simultaneous equations normally) except zero 3) you can add or subtract one row from the other (you see this often in this video)
Thank you. You explained it so well and now I can practice this till I can do it without help. Really helpful and you have taken the stress out of my weekend :)
7:40 the solution of the first row in the upper left corner is -2, but on the upper right corner its 2. I think you had a typo EDIT; oop you corrected it. Nevermind alls great ^^
Jack, me longer than a week, but have not lost hope. Never did matrix in my O-Level I am gradually catching up. Imagine in my late 70's, but still pursuing maths. I love it
How do you know which rows to use to get a o? Is there a specific order? How do you decide on R1+R2 or R1+R3 in a case where you could use both to get a 0. Also How did you know which number to convert into a 0 at first on 11:35?
I learned that there isn't any specific order. As long as your strategy is to eliminate/ cancel out variables in a 90 degree angle fashion like how he explained on 10:13, then you are good because if you think about it, that 90 degree angle method will allow you to solve your first variable (do so with the equation that has 2 0's next to each other). Then, you can plug that solution into your other equation with a 0 variable and so on. It does not matter which part of the matrix you decide to place your 90 degree angle.
You'll definitely have to use: the very row you're gonna rewrite and the "leading row" that you'll leave untouched. For instance, if you want the x-coefficient to ONLY appear in the first row, you'll consider R1 as the leading row... and then, you will rewrite R2 as a linear combination of R1+R2 (multiplying those rows by an appropriate scalar).
Do not be confused. You're writing a new matrix by using R1 as a "model" and basically rewriting R2 as a linear combination of R1+R2 (multiplied by the most suitable numbers), but you're actually keeping the "model" row untouched. Why? Because your aim here is making the "x" coeffficient (that is to say, the numbers that are BELOW the first number of the first row) equal to zero - EXCEPT for the first row, otherwise you'd nullify the informations given by your system. Same goes for R2 when you're using it as a "model".
In the 2nd example Z is actually equal to 49/13 not 39/13. I was trying to figure out what I did wrong and decided to just use a website to silve the equations and to my surprise, I was actually right. Thank's anyways. ❤ Wish there were more channels that share their knowledge and do it as clearly as you do.
Just out of curiosity, is there a benefit to doing it this way as opposed to just performing the same operations on the original equations, or is this just to help visualise how matrices can be used?
imo, this representation helps my mind navigate the operations easier due to less visual clutter. after all, the coefficients & the constants are all that matter in these operations, so writing the variables is unnecessary.
At 1:55 - What I don't get for the life of me - is WHY does the lecturer choose to R1 + R3? Where do these rules come from? Can he do anything that gets the bottom left to zero or is there some order I'm missing? Thank you anyone for the help
@@ani69fx Yes but if we do 2R1-R2 we get different results but we get the 0 we need so how do we know when do use -2R1+R2 and 2R1-R2? ( just an example )
Definitely (1,2,3). You can simply use a calculator to check using [A]^-1[B]. [A] being the left side of the equations, and [B] being the right which would mean inverse of a 3x3 multiplied by a 3x1...which will give you the unique answers (1,2,3).
Matrices - Free Formula Sheet: bit.ly/3UE9Cmk
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ua-cam.com/video/eYSASx8_nyg/v-deo.html
Thank you 🙏
Your videos are so much easier to understand than my lectures. Thank you for carrying me through university xD
Y’all are learning this in uni? Bro I’m having a hard time understanding this and I’m a freshman in hs
@@amreenaym786 just keep going, keep practicing. things will make sense eventually
@@amreenaym786 its literally going to be easy learning this in university
@@amreenaym786 you do repeat stuff to regain that familiarity, though I am learning this cause I have a maths module as part of my CS degree
@@amreenaym786 in my country we don't learn this stuff in high-school, so I'm learning this for the first time in university
This man carried me through 1st year and now hes carrying me through honours as well. You are a true legend!
Best of luck!
His exapmles are ass though. He picks the easiest examples. He could give a harder one.
@@master_baiter1873 well he’s not going to do ypur homework for you :D. I usually watch the video to learn the basic concepts and then go through the examples and exercises given in class. I then use his examples to boost my confidence the morning of the test. Seems stupid but its gotten me through Physics 5 so…
@@droomahbroo9291 i mean he could give one hard example. He chose easy examples. Ones i can easily do in my head.
@@master_baiter1873 I suggest you pick up Strang's linear algebra
I have an exam tomorrow,and I’ve been trying to learn this from scripts of my teacher for 3 hours and there is a guy like you that teach me all the stuff for 18 minutes.I wish you a good health and life.Thank you
This guy explains it so well...my textbook explains it like a brick.
For real though
true I wonder if he is a teenager he got suvh a sweet sound
@@zinkeyminaze7018 He's got the voice of an angel sent from the math gods
Textbook is pretty much a piece of brick
Really, where r uh from
This seems to be a common misunderstanding with matrices. *Echelon form is simply the final matrix after you've finished Gauss elimination* . (The matrix at 6:10.) It need only have 0's in the lower left-hand corner. *There is no requirement to have 1's along the main diagonal because they do not help in solving the problem* . They are simply wasted operations and are not done in practice. (Unless you want to do Gauss-Jordan elimination... which is also not used in practice.)
People seem to confuse the two. You only need 1's on the main diagonal if you're prepping for Gauss-Jordan elimination which then transforms the numbers in the upper right corner of the matrix to 0's as well. If you're not doing Gauss-Jordan, then don't worry about having 1's.
*Once you obtain the matrix @**6:10**, then we know that 4z = 8 and therefore z = 8/4 = 2* . From there we use back substitution to solve for the remaining variables.
FYI: This is straight out of my math textbook if you don't believe me.
*Source: Advanced Engineering Mathematics by Erwin Kreyszig*
TIP: The *scale* operation is your friend! As soon as you start getting into non-trivial matrices where the coefficients don't eliminate nicely, use the scale operation to get them up to a common value and then eliminate them. This helps you avoid ugly fractions and awful decimal numbers that have infinite precision.
For example, consider the following system of equations:
x + y - z = 9
8y + 6z = -6
-2x + 4y - 6z = 40
Without using the scale operation, you'll hit a wall by about step 3.
Thanks
@@taekwondotime so whats the scale operation
You should have explained that in the video I was so confused :(
The one he did is called Reduced Row Echelon form.
يبني والله ال انت بتعمله ده عظمه فشخ ربنا يخليك لينا كلنا بنحبك والله كل ال في هندسة حلوان المطرية بيحبوك والله و بيشكروك على مجهودك معانا انت راجل محترم و ربنا هيكرمك و هيخلي عيالك يبقوا احسن ناس في الدنيا حبيبي يا دوك
couldnt agree more. xddd
ههههههههههه
اخخخخخخخخخخخخ بس والله حقيقي ههههههههههههههههه
This youtube channel is literally my first year of my BSc's saving grace. I can't thank you enough.
All thanks to you sir ,now am doing my Electrical Power Engineering National diploma all because of you ... I passed my o levels thank to you ... God bless you❤❤❤❤❤❤
I am here because of the online class. Self-study huhu. Like also if this is your case! Goodluck to all of us!
haha yeah im taking linear algebra online
Same reason 😅
All the best to you too!!!
@@Rob-J-BJJ Same here lmao.
Same!!!!!! Tough stuff
Where we at gang?!!!!!!!!!!
Thank you Jesus my redeemer for revealing this to me after hours or practicing!
Guys, you have to use the columns. Literally go from row 1 column 1 and make this value =0 (or interchange rows if necessary), then go down in column 1 and use a relationship with respect to row 1 to get a value. Continue until all values below the initial '1' are =0, then move to column 2 and establish a diagonal (similar to an identity matrix below the diagonal, but with the updated values above the '1' diagonal.) I trust this hopes, keep practising and you WILL get it. Live excellently and don't give up hope!
One of the most humble educators that we're blessed with!
A heartfelt Respect to your dedication and patience because a lot of us will survive much longer in math, or even feeling more motivated!! 🍭
What I wonder is that his title is chemistry tutor😂😂😂. But teaching math more than math teachers😅😅😅😅
I just wanna say, you've helped me so much over the past year. Precalc, calc 1, a calc 2 crash course over the summer, and now linear algebra. I doubt i'd of been able to understand everything as much as I do now without your videos helping us walk through each new method and idea. Thank you for taking the time you have to help us learn
I am in maths major and this year is my second year in this department. Before online education, I was learning with your videos. Actually my college is very hard but you solve easy question,so I love your videos, because I feel like I am a paradox in class of my teachers. It is very awful situation. I am so glad to discover this channel thanks the organic chemistry tutor
have u graduated already?
My prof. explained this to me 3 times and I didn't get it, watched your video one time and figured it out instantly. Perfect job on the tutorial, thank you!!!
For the people that get confused at 10:50: 'R3 = R1-R3 is the same as 'R3 = -R3 + R1. He writes it in a different way, but you're still working on 3R in both cases
thanks a ton mate
Thanks man now i think i understand.
I don't understand it why it's R3=-R3+R1 we can directly go with R3=R3-R1 isn't it? Please help me with this
@@sreekumarnair-rl2wo i think its because you have to write the ending row (R3) at the end of your operation, he explained it in another matrix vid, i think its the row operation vid
@@oimatesimro2088 wouldn't R3 = -R1+R3 work then?
My brain does not let me do this. I have been trying so hard for a week and I feel like my head is going to explode.
Same here brother :(
Currently stuck myself.
same
bro its like if the devil tried to make sudoku
same
They always do the easiest question on the internet.
well you only need the basic anyways for this kind of question.
@@TheGunzSkido Naaw bro im in Algebra 2 and my questions are hard af
@@dabigboom2426 keep learning bro. You can do it
Otherwise we could be afraid of how difficult it may be : )
Ahmed01 I know !!!
Best teacher any comrade desires!
👏🏻👏🏻
A THANK YOU COMMENT IS NEVER ENOUGH TO YOU GUYS!!!! LIFE SAVERS!!! THANK YOU VERY MUCH TEACHER, THE ORGANIC CHEMISTRY TUTOR.
Felt so lost after my professor taught this. Came here for help as always. Was not disappointed. You're a good man. Thankyou
This UA-cam channel is literally my first year of my Beng's saving grace. I can't thank you enough.
Did you find his thermodynamics vids helpful?
You currently are my savior for taking linear algebra! Thank you for doing such great work for the world!
MR. Organic Chemistry Tutor, this is an excellent introduction to the Gaussian Elimination Method and Row Echelon Form in classical Linear Algebra. Linear Algebra is very useful in different levels of mathematics.
ive been a university student for 3 years now. Organic chemistry tutor is awesome! I remember the morning of a Calc two exam, other students asking how each other felt... I told them i reviewed some organic chemistry tutor videos their jaws dropped!!! hahaha. they didnt realise u did math lol. I love you man keep it up!
your videos are 10x more informative than any lecture i have sat , keep up the good work
Words can not describe the way this man has helped me get through all of my studies. At this point i don't even know why i go to lectures when i know that this channel has got my back.
We have an exam tomorrow, including this topic. Hoping to pass it.
I have one tomorrow too cri.
@@neilialopez7446 ahahaha me too
updates? how was it! im having one soon :)
Hope it went well. And for those students out there that want some more practice on Gaussian Elimination, I've made a video where I solve such exercises step-by-step. It might help some :)
ua-cam.com/video/nyWp9sr8uGE/v-deo.html
UPDATE??
You man😫😫🔥🔥🔥🔥🔥The best of the best!We love you here in Limpopo!❤️
I wish this guy was my math lecturer.
this guy is responsible for me to pass by engineering . thank you
thanks. you are absolutely the best, my math teacher totally confused the class with this principle.
This channel really is the best it could really relay the gist to it's viewers, those professor just make my life harder and complicated
You corrected both z=2 and -2 in the top row. Great job and thank you! I can solve variables using Gaussian elimination.
Thank you for writing that he caught that! I was getting worried lol
Thank you so much for the explanation! I can't understand this in my textbook and all and you only took 20 minutes for me to completely understand this concept!
He "in this vedio"
Me"omg it's him 🤓🤓🤓"
That is the feeling i always get, i even know before opening the video that it is him because of the colours he love using..
You are a Pele or Maradona of a professor. Gifted genius !
You've never failed me. I love you so much!
Even after 6 years he still explains better than teacher and textbooks
You got both my respect and my like
Thanks for helping me through the hell of math and chemistry
This just saved me.. I got my end of semester exam on Tuesday.. Hope this is going to help a big deal. Thank you.
I literally didn't understand how this worked and my professor never really did any problems out. Watching you solve it made it seem so trivial. Thank you so much!! You are amazing
dude, you're awesome, thanks so much, I was really struggling with this and this video has helped me so much. def gonna buy some merch
The best tutor I've ever met....thank you sir
You made this so easy to understand and follow. For days I have been losing my sanity trying to complete my assignment on this topic. Thank you
Your a legend. The way you teach. I learn everything from you.
I will pass my Discrete Math class because of you. Thank you so much!
Oh man, this just smacked me in the face, in a good way. Great breakdown. I am embarrassed to admit how much time I wasted with other resources before coming to this channel. I won't make that mistake again. Thanks for the insight!!
Great video! Only advice would be explain what you can do to simplify the matrix into row echelon form. For anyone watching, these are
1) You can swap the rows (you CANNOT swap the columns)
2) You can multiply the rows by any constant (in a similar way you would when solving simultaneous equations normally) except zero
3) you can add or subtract one row from the other (you see this often in this video)
I am a bit confused as to why in the second example, he did R1-R3. Why would it not be R3-R1 so that it is 2-2?
@@inarvii8181 correct
the solution is INCORRECT!!!!!!!!!!!!!!!!!!
Love how he explains everything in such a short time and detailed
this guyyyyyyyyyyyyyyyy......from saving me weeks to exams to helping me finish entire courses before midsem
You made this so much easier ! Thank you!
Your a genius Keep going also you explain better than all my teachers :) 👏👏👏👏👏
Thank you. You explained it so well and now I can practice this till I can do it without help. Really helpful and you have taken the stress out of my weekend :)
I had a hard time solving this but thanks to you it’s much easier 🎉
7:40 the solution of the first row in the upper left corner is -2, but on the upper right corner its 2.
I think you had a typo
EDIT; oop you corrected it. Nevermind alls great ^^
Jack, me longer than a week, but have not lost hope. Never did matrix in my O-Level I am gradually catching up. Imagine in my late 70's, but still pursuing maths. I love it
I come here after class and understand everything clearly.This guy is such a helper
same
can i minus 2 rows ?? someone answer plz
Simple, clear, and self-evident. Many thanks!
How do you know which rows to use to get a o? Is there a specific order? How do you decide on R1+R2 or R1+R3 in a case where you could use both to get a 0. Also How did you know which number to convert into a 0 at first on 11:35?
There isnt specific order, you can select any row with another which make (1,2),(1,3),(2,3) elements on zero state :)
I learned that there isn't any specific order. As long as your strategy is to eliminate/ cancel out variables in a 90 degree angle fashion like how he explained on 10:13, then you are good because if you think about it, that 90 degree angle method will allow you to solve your first variable (do so with the equation that has 2 0's next to each other). Then, you can plug that solution into your other equation with a 0 variable and so on. It does not matter which part of the matrix you decide to place your 90 degree angle.
You'll definitely have to use: the very row you're gonna rewrite and the "leading row" that you'll leave untouched.
For instance, if you want the x-coefficient to ONLY appear in the first row, you'll consider R1 as the leading row... and then, you will rewrite R2 as a linear combination of R1+R2 (multiplying those rows by an appropriate scalar).
This guy and kahn, legends.
isnt subtracting row R1 by R3 gonna change R1 since you're subtracting/- by R3 ? clarify @11:11
Do not be confused. You're writing a new matrix by using R1 as a "model" and basically rewriting R2 as a linear combination of R1+R2 (multiplied by the most suitable numbers), but you're actually keeping the "model" row untouched.
Why? Because your aim here is making the "x" coeffficient (that is to say, the numbers that are BELOW the first number of the first row) equal to zero - EXCEPT for the first row, otherwise you'd nullify the informations given by your system.
Same goes for R2 when you're using it as a "model".
absolutely legendary ass guy. i cant believe im actually understanding everything clearly
Gauss is one of my favorite mathematicians
Baris lol
One of the greatest mathematicians of all time
I thought hilbert is better than him
let's gooooo linear algebra!! i passed calc 1 because of you!!!!
6:49 all 1st row will retain, should be "-2"
7:35 x+y-z=-2
Nvm. You've already correct it. ✌️
Doing the lords work with this video, awesome explanation!
Whenever I see your videos on my results I know I'm passing!
Calculator gives you the wrong answers for these types of problem.
god bless u, u fr helped me pass highschool and now college
In the 2nd example Z is actually equal to 49/13 not 39/13. I was trying to figure out what I did wrong and decided to just use a website to silve the equations and to my surprise, I was actually right. Thank's anyways. ❤ Wish there were more channels that share their knowledge and do it as clearly as you do.
U could be right any way hmmm! Maths is an interesting subject consistent practice makes perfect
He has been my saving grace in 5 different classes so far
You’re amazing. I’m so scared for this unit😭
same here omfg
Hannah 9014 I cant do it😭
Ashley Grace B it takes practice...just keep looking at video lol
Ashley Grace B Im currently studying for a final
You are a saint! I just realized I forgot to do two math assignments and I needed to learn how to do this immediately
Just out of curiosity, is there a benefit to doing it this way as opposed to just performing the same operations on the original equations, or is this just to help visualise how matrices can be used?
imo, this representation helps my mind navigate the operations easier due to less visual clutter. after all, the coefficients & the constants are all that matter in these operations, so writing the variables is unnecessary.
From Egypt>>>>
Thanks ..... Your The Best : )
@6:50 where is the negative in "2" at the top?
in 8:06
Yes the negative 2 become positive and I become confused 😢
Bro it straight up WORKS. You gotta like a video that can explain A-Level maths to a 14 year old.
Thank you for this ,
I have an exam
And this so diffcult for me
😞
Now i understand
🌹
I love this UA-cam channel it helps and explains better than my professor
Get more on Gaussian elimination method of solving systems of equations from this link
ua-cam.com/video/eXHOytiWWAw/v-deo.html
I want to give up.
You can do this.
@@fridge8416 thank you. I'm currently sitting at a high B in linear algebra :)
@@bicboi46I'm so glad to hear that you have no idea! I've been wanting to hear how you held up, keep it up brother!
@@fridge8416 what? quit?
He is very good...this job was just made for him.
Slay king I understood it because of you😍😍😍😍
what is the difference between the echelon form and gaussian elimination method?
Row echelon form describes the matrix after you finish gaussian elimination. Its also called upper triangular form
thanks bro you made me understand this topic in just 20 mins while my teacher was teaching it from 2 months
Who hates asynchronous classes
I swear 😭
Why are you so helpful all the time?
Does it make any difference if I use a different approach in working out the rows (using different row operations)?
It doesn't matter which way you do it as long as you ended up getting row echelon form
How did i understand it so easily i have been trying to read about this for hours no good, what 16 mins and now and am pumped up to do some math
my algebra teacher is so shit so thank u dude 😙🙏🙏
Thanks. I am taking this class online this summer term. Reading the material for 19 times, I still doesn't understand. Now... there is hope :)
At 1:55 - What I don't get for the life of me - is WHY does the lecturer choose to R1 + R3? Where do these rules come from? Can he do anything that gets the bottom left to zero or is there some order I'm missing? Thank you anyone for the help
This is according to properties of determinants and these can be applied to augmented matrices as well. These are quite basic concepts.
only reason i'm passing my algebra II course in college is this guy, honestly so grateful, he's a lifesaver
WHY CHANNELS NAME IS ORGANIC CHEMISTRY IF YOU HAVE HERE EVERYTHING?
You really help me ...great teacher who I loves your tutorials
Literally took me an hour to do the second one i was getting fractions everywhere and i ended up with the wring anwser anyways fml
same, i dont understand why he did it that way
I am about to owe this man my whole degree
can i ask how did it become -2R1 +R2?
he is just coming up with this to get the needed result. )
@@ani69fx Yes but if we do 2R1-R2 we get different results but we get the 0 we need so how do we know when do use -2R1+R2 and 2R1-R2? ( just an example )
My favourite online tutor.Just a little correction here l think you mean to say z=2
I got x= 1, y=-1, z=2. you can check them.
got the same thing
So did I
Oh no. Sorry. I got y= -1
Oops. So did you. So sorry. My answer indeed matches yours exactly. My bad.
Definitely (1,2,3). You can simply use a calculator to check using [A]^-1[B]. [A] being the left side of the equations, and [B] being the right which would mean inverse of a 3x3 multiplied by a 3x1...which will give you the unique answers (1,2,3).
First day of college and already here, thank you as always ❤😂
The answer is wrong. Right answer: x=1, y=-1, z=2
x=5
Thank you, I have been crossing checking my answers wondering what have i missed 😒
I made an error in the constant of the first equation
Finally someone gets it right.