Inverse Matrices and Their Properties

We learned about matrix multiplication, so what about matrix division? There is no such thing! But we can multiply a matrix by its inverse, which is kind of like multiplying a number by its reciprocal, to cancel it out, which with matrices will yield the identity matrix. So how do you find an inverse matrix? Let's learn how!

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[sorvex]

This is what happens when you stop gatekeeping mathemathics with ridicolous notation

[thefalcica]

You are truly a life saver. You helped me through organic chemistry and now linear algebra. I wish u were my prof👑

[notposttv]

instead of that labourious way you did for finding the inverse of a 3x3 you can just create an augmented matrix with A and its identity like [A | I], then row reduce until the identity matrix is on the left side, the matrix on the right side is the inverse of A.

[sudiptabiswas]

I am from India and I've been your fan for a long just wonder why your videos don't get a millions of likes....

[kurdonthego]

Ive got a final tomorrow, never understood any of what was said in class. I have only reviewed for 2 hours using your videos and I'm already caught up with everything up to determinants. On to eigenvalues and vectors and then vector geometry. Thank you professor dave!

[MinhAnhNguyễn]

omg that helps me so much, clearer and easier to understand than my teacher

[hansisbrucker]

I am glad we have computer algebra systems these days 😳😅

[sohumramouthar]

You covered 15 pages of my textbook in 10 minutes...this guy is a math god

[aboodazmi]

" thank you very much" is not enough to describe my gratitude.

[mikaelious]

Professor Dave, you are a LEGEND. I missed almost two weeks worth of stuff from my six-week course, fearing that I'd fail the exam because it was impossible to catch up. And here you are, making me finally gain a proper grasp on these concepts in less time than it'd take for me to even get to school.

Thank you so much for your quality content!!

[aplimsollpunk]

We will first find something called the "Matrix of Minors".

I thought that was called VRChat

[samreus]

For 3*3 matrixes or any large matrix you can just use identity matrix to find inverse, you dont need a cofactor method.

[Elie-]

thank you so much. i am first year Civil engineering BE and i have ADHD . i find everything so boring and unessecary but now i am loving to practice. i have till 6 may to study. i have calc1 algebra2 finals the same day. and thermo on the 10th of may. you saved my life and time. thank you very much.

[a_atharvghosalkar]

Thnx prof❤️...love form" INDIA"🇮🇳🇮🇳❤️❤️

[verigone]

you explain it well, I know it is useful, but I freaking hate inverse Matrices...I think the least intuitive operation in all of mathematics

[joeczernuszka]

I’m a bit confused with the comprehension check. I get the the adjugate to be the answer that you’ve given as the inverse matrix. Isn’t there then a step to divide by the the determinant of the original matrix which I make to be -13

[Eduardo-tqsk]

This way doctored only for us inclined to math people, say thanks profe David please!

[mengetmona]

ad-bc how do u get that ....I don't get it 🤦

[eliaswilliamsson]

Helped me through organic chem when I was doing pharmacy, and now maths when I'm doing physics. You're really saving my studies!

[dunmolamojoyinola]

when you did the first determinant on the 3x3 matrix why didnt you multiply by the numbers you did the determinats of