Oxford Linear Algebra: How to find a Matrix Inverse using ERO’s (Elementary Row Operations)

[@TomRocksMaths]

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[@karunk7050]

So much better than the method we learn at A Level, this one works intuitively

[@TomRocksMaths]

Glad it was helpful!

[@RamBahadur-lo1or]

Idk, we were told that using either EROs or the cofactor matrix to find the inverse of a 3×3 are both perfectly fine to use in an exam. A level further maths.

[@JH-Wood]

Amazing explanation, so clear and easy to follow! Please do more topics!

[@TomRocksMaths]

There's a whole playlist here: th-cam.com/play/PLMCRxGutHqfnC5QNWo9DAsU_QlXK5JoDX.html

[@nityambohare719]

such a nice piece

[@davidplanet3919]

Excellent introduction. You could have noted that A^-1 A = I implies AA^-1 as people will see both definitions in text books. It’s more usual to store the sequence of EROs when solving equations, LU factorisation etc.

[@RC32Smiths01]

Always thorough and interesting man. Great work!

[@alwysrite]

always great explanations

[@TomRocksMaths]

[@erniesulovic4734]

I'm wondering what the inverse gives from a geometric perspective? The orthogonal line/plane etc?

[@MrGrunter0]

I've absolutely no idea what any of this means and I understand none of it. But I find it interesting to watch for some reason, and I hate maths 🤣

[@TomRocksMaths]

as long as you're having fun!

[@neyhmor]

I'm looking forward to the video on LU decomposition 😊

[@jshahahahaah]

@TomRocksmaths is it possible if you could attempt a statistics and probability paper from AS level or A2 level

[@shivashankar28]

Thanks prof! Prof, a request, would you please cover eigen values and eigen vectors, really blessed for such a professor to be on youtube. I am sharing your video to my classmates :)

[@dragonbornegamer4151]

There should be a video on eigenvalues and eigenvectors by 3blue1brown

[@TomRocksMaths]

This is what you're looking for: th-cam.com/video/8uISh6xyW7w/w-d-xo.html

[@FahmiNoorFiqri]

I remember this from my second semester and it was really hard to grasp at first

[@israelruiz2906]

Very interesting. 😍

[@TomRocksMaths]

Glad you think so!

[@scpablo7236]

Nice

[@benstallone6784]

I think the logic works like this
EROperations(A) = EROperations(I) A
So if EROperations(A) = I then EROperations(I) A = I and by definition EROperations(I) = A^(-1)

[@logicomix7976]

Hi Tom,
would it be funny to teach us about an other really interesting inverse problem, the „inverse eigenvalue problem“?

[@xoclus5825]

Video idea why don't you do an American sat maths test 😀

[@TomRocksMaths]

Have you read my mind…

[@navinsubba7169]

Hey Tom! Can we expect differential equation course in future?

[@TomRocksMaths]

I do plan to cover ODEs as part of the 'Oxford Calculus' course here: th-cam.com/play/PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S.html

[@navinsubba7169]

@@TomRocksMaths thanks 🙏

[@edoardogamba6141]

Hi Tom

[@TomRocksMaths]

Oh hey!

[@sdsa007]

Thanks! much easier way to calc inverse… wikipedia says to do 1/det and multiply by cofactor matrix made from adjugate matrix… phewww!

[@MTahar-ig3gy]

Hi Dr. tom

[@TomRocksMaths]

Hello there!

[@sdsa007]

is there an algorithm that does these EROs?

[@epimaths]

Những phép toán đơn giản về ma trần.

[@hahahaha-gh3fr]

Do an icse gd 12 math paper

[@DjAce01]

Br ?

[@itsreeah2663]

Hello maths fans 👋

[@muhammadaniq8224]

please try singapore maths 😂😂😂