Inverse of a 3x3 Matrix
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- Опубліковано 17 лют 2018
- This precalculus video tutorial explains how to find the inverse of a 3x3 matrix. You need to write an augmented matrix containing the original matrix and the multiplicative identity matrix. You need to convert the original matrix into the multiplicative identity matrix using elementary row operations. The multiplicative identity matrix will change into the inverse of the original matrix as long as you apply the same elementary row operations to it.
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Introduction to Matrices:
• Intro to Matrices
Adding and Subtracting Matrices:
• Adding and Subtracting...
Scalar Multiplication of Matrices:
• Scalar Multiplication ...
Solving Matrix Equations:
• Solving Matrix Equations
Multiplying Matrices:
• Multiplying Matrices
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Gaussian Elimination & Row Echelon Form:
• Gaussian Elimination &...
Gauss Jordan Elimination:
• Gauss Jordan Eliminati...
Gaussian Elimination With 4 Variables:
• Gaussian Elimination W...
Inverse of a 2x2 Matrix:
• Inverse of a 2x2 Matrix
Inverse of a 3x3 Matrix:
• Inverse of a 3x3 Matrix
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Determinant of 2x2 and 3x3 Matrix:
• Determinant of 3x3 Mat...
Determinant of 4x4 Matrix:
• How To Find The Determ...
Cramer's Rule - 2x2 Linear System:
• Cramer's Rule - 2x2 Li...
Cramer's Rule - 3x3 Linear System:
• Cramer's Rule - 3x3 Li...
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I know bro. I started using this channel in high school for chemistry and it's still relevant for cs.
facts
it is so easy to make small mistakes in these types of questions.
that's why linear algebra is my least favorite math subject
There is a more systematic approach to calculating the inverse of a matrix though. I uploaded a video where I go through such exercises step by step, it might help :)
ua-cam.com/video/2Qx3JqG537I/v-deo.html
He did too... 2x1does not equal 1... 8:25
@@Supergamer-ex2yr He should have done -1/2R2 + R1
@@davidschori2417 Exactly
I appreciate that you leave the mistakes in the video. Helps to understand what to do if things go wrong
I don't. I just want to quickly check one of the steps without being forced to watch the entire video in case they have to correct themselves later on. Thanks for letting me know though.
After seeing these in my calculus class, I wanted to drop the course. After seeing him do them, I swear to god they are actually kinda fun, like math sudoku puzzles or something.
wtf I'm completely different, I HATE matrices.
I agree. It’s actually easy compared to most of the other things as there’s no complicated formula to use.
Wow we do this in our linear algebra class
Weirdly we did calculus before we even touched matricies
Its kinda fun but if you fight against time, its gonna be a death for you. I only have 1 hour 30 minutes for my paper, 7 questions to solves which one of them is matrices
You have no idea how much you've helped me with chemistry and math over the years. Thank you :)
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This video is timeless, I'm very thankful that you take the time to explain every single step of every single topic. Keep it up! :)
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I've seen lot's of videos from this channel but never thought about subscribing till now. I thought it was about time since this guy does such a good job explaining things. Thanks.
I like your straightforward approach to finding the inverse matrix. I have only one problem with this: the leading row in an operation should always be the row where the operation is taking place, like this -> R2-R1 -> which means that the second row is where the first row is being subtracted from. Doing this helps me to avoid ambiguity.
yeah for these matrix videos i just go from top to bottom, left to right, using the pivots. and then check to see if he got the same answer I did
As much as I am thankful for this video, for helping me through my struggles with math, I do believe that I have found a problem. At 7:59, we are supposed to multiply 2 with 1 and then subtract 0 from the sum. So 2 times 1 is 2, minus 0 is still equal to 2.
I apologize for any disturbances, but....math is frustrating.
(EDIT) I apologize for the cries and outbursts. I was frustrated, it is the middle of the night. I'll finish this one problem, and it is the bed for me.
i also noticed that
@@fumanimhlongo8353 yeah i almost lost my shit right here, im already struggling in further maths and this dude did the simple mistake which questioned my maths itself😂 i was so confused lmao
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i appreciate all of your videos. you really helped me through my college algebra coourse
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Not boss, LEADER
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Thank you so much The Easy University of the organic chemistry tutor.
I have used this channel to get throught Calculus 1 and 2, and computer science Mathematics 1 and 2, and statistics courses on university in Norway. Just want to say thanks for helping me :).
You might be a wizard. I was stuck on a problem and had already done some 3x3 matrices but this problem was giving me a lot of trouble. I watched maybe 3 minutes of this video and almost immediately was able to break through the problem. Our numbers were not similar in any way. Thank you Mr. Wizard.
I love how I learn more on here than I do in my actual algebra 2 class, thanks
3/4 of people on here are university students lol
I am 10th grade in Romania 😭
HOLY CRAP THANK YOU, AS A FRESHMAN IN COLLEGE YOU DONT EVEN KNOW HOW MUCH I NEEDED THIS!!!
For those that want some more practice, here's my video where I invert matrices step-by-step:
ua-cam.com/video/2Qx3JqG537I/v-deo.html
It might help some of you :)
taking differential equations with matrix methods now and this is a topic. Thanks for giving me the intuition to solve these!
once again saving my high school career love you man!
Thats why he's the goat
MR. Organic Chemistry Tutor ,thank you for a solid explanation and analysis on finding the Inverse of a 3X3 Matrix.
Please see my 2*2 matrices and advise me ua-cam.com/video/VLaG4a0-Afo/v-deo.html
I actually love the errors in transposing midway--they had me on the edge of my seat (Will he notice the error? ... Yes!) This was EXCELLENT. Now to tightrope walk this without a net...
I'm glad that my Prof. taught us well about this one.
Seriously, you are so genius . I'm so amaze you're awesome at math and chemistry
I like the way you explain it... am now ok in solving it...thanks so much
THANKYOU VERY MUCH SIR!! its my fav channel to do math revision
Majority of university students are struggling to solve these. This UA-cam channel is very very helpful for uni students and also who needs much more support for Mathematics subject as well. This Tutor feels like a home visiting teacher for me, Everything's perfectly taught ❤..
Thank you so much. ❤
This video is very helpful. Thanks for your time in sharing your knowledge in this topic am so Grateful.
today my lecturer will teach me about this.... instead of listening to him for 2 hours, I would rather watch your 15 minutes video, so I'm not be confused like my other classmates
Very true 😅😅😅😅
Thank you so much for this video! My teacher tryed to explain it in class, and he made it sound so much more complicated than it really was. Your video made it very easy to understand!
THANK YOU!! This helped me so much!
my question is that on 8:oo you multiplyed row 1 by 2 and substract it by row 2. so on the first column you multiply no 1 by two and u substruct it by zero (2*1 - 0) . it should be 2. how could it be one ?
same here..... thats where I don't get it.. it should be 2
@@alphahenry4908 he made a mistake we need to mutiply row 2 by 1/2 and then substract row 1 by Row 2
spot one me got that as well
I was legit smashing my head at the table like... this just undid all the progress I thought I made xD
@@studente_luissgc4586 Wouldn't you just multiply row 2 by 1/4th and skip all that extra stuff?
that was a very good video, i was at uni and my professor jsut kicked me out of lesson. Then thank to you, i could understand the lesson.
Thanks :)
the his order of operation is wrong. If he is subtracting R1 from R3 is should be r3-r1
Mmmm depends if we dealing with figures above or below the diagonal 1 1 1 l think 🤗
actually its same... it depends on where you apply the operation coz you have the freedom to do so.
Yes the row you want to change should be mentioned first OR you should explicitly write it as R1-R3 --> R3
Where R is a shortcut for row.
Yes your right
Thanks. A very simplified alternative to the "product of determinant reciprocal and adjoint" technique
The determinant Technique is alot easier than this one
Thanks so much
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I hope you are my professor in Linear Algebra. Your explanation is very clear.
U always bring us amazing lectures and Allah will bless u, Thanks a million.
Man, I have always loved your video. Thanks a lot.
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I usually use A^-1=1/detA*C^T. Where the inverse is given by 1 divided by the determinant * the matrix of every minor C transponated.But this method is ineffective for matrix bigger than 3x3
easy to understand ! Thank you so much
Thanks for making it crystal clear.
Life saver. Thank you
i find it funny that this video is meant for precalc students but this is a big help for me who is in a linear algrebra class, precalc was so long ago I had forgotten how matrices worked
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I have final math exam on matrices and this method was easier than the method my professor taught in class. Thanks
Thank you. Seriously.
My teacher didn't really explain this all too well and I thought I was losing my shit when they started talking about the matrix and Neo and blue pill/red pill and Andrew Tate.
I still don't even know how or what I can use this for (other than maybe computer science), but at least you helped me with the test.
It's also useful in chemistry.
u can use it to escape the matrix
This was very helpful. Thank you!
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And again you save me😁....thanks and God bless
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I was wondering. Can't you calculate the determinant of a matrix, and if the determinant is any number other than zero then the matrix inverse equals the matrix transpose?
Our beloved tutor we really appreciate your presence
2x1-0=1??? (8'7'')
I know man! Baffled on that one...
I believe he did that incorrectly.
ya at 7:58 he clearly made a mistake. It happens in these stupid things, there are like a page of calculations that ALL have to be correct. Not a big deal.
Okay, I'm not going crazy...
He should have multiplied row two by 1/4 which would have given him 0 1 0 I 1 1 1 and then row one minus row two multiplied by 2 which would have resulted in 1 0 0 I 2 2 3.
thank so much if they can make you a lectures of every universities
Is there a specific order that i can follow? Like should i invert 0 first or something like that.
My Precalc teacher tried to teach this, and she did a horrible job. Thank you for carrying me in Math.
two times 1 - 0 = 1??
2 times 1 and minus o stay 1at 8:2. How can?
That's mistake. He changed it after.
He made a mistake
You explain it so well and make it easy to understand. I wish I could give my tuition to you instead of my lousy, careless professor.
there are 2 type of people. 1st type here are talking about DEGREES and stuff and here me of 2nd type sitting in 2023 and trying to crack 12th and JEE 😊😊.
But still it helps although these types of questions are very less in JEE but it helps a lot with boards !!!
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OMG, this was the best explanation.
I was in class today attending my lecture 😭😭😭yoo they make things difficult 😭😭😭I just understood what's going on here🎉🎉❤❤thank you man🎉🎉❤❤❤❤❤❤we love you ❤️❤️
It’s good to be back, old friend
u are way better than my textbook kudos
Thanks alot man you're the best.👍
It’s easier to work on 1’s first, then focus on turning the other parts into 0s.
why?
Are the row operations performed always performed in that exact sequence or is there a dynamic logic that he is applying (for a 3X3 matrix)?
Doesn’t matter already, but there is a dynamic logic
@@insarkarypbekov9921 It does, thank you :)
Do I get the same answer if I add or subcract columns on both matrix A and and matrix I. I understand that if rows are changed on both A and I, result stays the same, but does it aplays to columns?
How this guy know everything I need to learn? My major is CS and my minor is chemistry, and this guy covers from ochem to calc to linear algerba
Well captured. Thank you sir
The video is done with great deliberation and detail in a step by step manner that even an idiot like me can understand it. AWESOME!
guys practice these kinds of questions so that you can solve it faster i had two similar questions to this in my last quiz and had to solve the whole quiz in 50 minutes
U clear my concept
thanks you help me at the right time thank you🙏🙏
Great teaching❤️🙏🏼
I tried it on a diffrerent 3x3 matrix , I always got the 3rd row of identity matrix wrong on checking
you saved me i got 93 out of 100 you are the best god bless you
is it possible that the matrices may interchange? like the location, because when I solve for it the 1 in the in 2x3 for Mr. tutor is in 3x2 in mine.
ty for the lessons :)
This is gonna be the biggest trial of my life😂😂😂😂😂
I'm so fukd
1000 times better than my lecturer. that's for sure
With these can we we literally make anything up that works? And is there a specific order that we go in?
you are the legend himself
Thank you
Really very helpful
Is there a rule for choosing which rows you manipulate to get 0’s? Like in one step, you use 3 and 4 to make negative 12 to get the 3 to become a 0 in row 3. But couldn’t one also use row 1 and get the 2 to become 6 and get them to cancel out that way? Forgive me if my phrasing of the question is poor, I only wonder does it matter which rows we use in the manipulation process to get 0’s?
Can one clarify the underlying logic for this algorithm ?
This is more complex that it should be. Easier to transpose A then find the adjoint matrix and divide that by the determinant of A
I'm doing my bachelors in math and let me say this...organic chemistry is an absolute lifesaver.
this guy will never not sound like a high-schooler
Son simply you do answers heads off to man
is there a formula to do this quicker? for example the formula for a 2x2 matrix is 1/ad-bc * identity matrix, does something like this exist for a 3x3 matrix if answer is no then why int there one?
Well guess what this guy helped me again 😂
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Good.... remind me for the past...
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Thank you for information