Properties of Matrix Algebra - Proofs

[instaminox]

Conceptually, calculus we just have to be good at the mechanics of what you're doing to solve the problems.

Linear algebra is the opposite. Conceptually it's very hard, but the mechanics aren't hard.

[heladodelicioso]

omg u sir are a genius and a hero. there needs to be more of u on this earth

[quangle]

Thank you very much for the clear step by step proof of Associative Laws of the matrix A(BC) = (AB)C.

[biziilo]

MY GOD. your finish work. just watched this and was impressed. you deserve a bottle of beer on me.

[YommiOfficial]

Calc 3 was a breeze, linear algebra is kicking my ass though. Thank you for this.

[patrickmoloney]

Fantastic. If people are struggling with LA or enjoy it, like myself. There is a good complementary Linear Algebra book that I got recently. It's 3000 solved problems in Linear Algebra (Schaum). If people are interested of course.

[countingpebbles]

Phenomenal video. I have watched every video in your L.A series up to this one

[randomcomment]

Take a shot every time he says interesting :) btw thank you so much for a really helpful tutorial . I really appreciate it !!

[waffamez]

thnk u soo much u all what i want to learn a; ganna see all ur videos

[TT-hsjx]

Thanks you explain it so well. Got yourself a new sub.

[creativeman]

all the illusion or complex or unresolved or curiosity or undetermined or anything unexplained is here

[deepjyoti]

cancelation law works for matrices addition/sub but not for multiplication in genral

[MrMrannoying]

For the (AB)C= A(BC) part, My classmates and I kept using a variable on top of the summation and it kept throwing us off a bit. I notice you dont write anything above the sum, does this mean something when it is absent?

[JustLoco]

All I learned is you have nice hand writing

[zb]

Why isnt he putting a variable on top of the summation notation?

[willpugh-calotte]

Could it also be added to the cautions at the end that, if the matrix product AB equals the zero matrix, then neither A nor B is necessarily a zero matrix?

[johannesmatlaisane]

Big hand blocking the screen :) Kidding! Thanks.

[Ismaelkauga]

please can you solve this for me ;A^3 + 2A^2 - A - 2I = 0