Lin Alg: Transformation Matrix with Respect to a Basis

[andersbyintrnational]

your mouse skills are incredible

[rayray66]

Great videos on linear algebra. They have really helped to build an intuition for it and "see" past the formulas and computation.

[salehjamsaljames]

MAAN! I love you from all my heart at the moment! you save LIVES!

[mehrusija]

can any one tell me dat is these videos suitable for CIE exam

thankss

[caperdog59]

what happened to the playlist it was so useful

[MrCalhoun]

Note:

Matrices D and A which satisfy the equation D = C^-1*A*C are called Similiar Matrices. Why "similiar"? Det(D) = Det(C)^-1*Det(A)*Det(C)= Det(A)

[alquiora]

@MrCalhoun

Does that mean for two different matrices with the same determinant, they share SOME common properties irrelevant of their dimensions?

[jdra999]

well explained



[sberhe1]

great job, it makes things much easier, grazie!!!!!!!!

[amberegbert]

I can't describe how awesomely helpful these videos are.  A great supplement to taking a class, or reading a book on your own. I couldn't have made it through without your help on these. You rock!

[mathematiciia]

I have a question about the last equation, if D = Cinverse * AC, doesn't that amount to D= A times the identity matrix, b/c C inverse * C is the identity matrix?

[Dusevic]

i am also thinking this.

[laputahayom]

@mathematiciia

remeber that AB is not = BA

for most A and B

so order matters when you do matrix multiplication.

[kami645464]

Thanks for the great easy to learn free education on YouTube.

[yynotx]

if find this vid somewhat confusing--although things do get smoothed out for the most part at the end. mostly--i think the notation scheme is lacking--there should be some sort of notational way to destinguish basis and matrices--currently they are all just cap letters-- so maybe S-sub-0 is the standard basis space, S-sub-1 is the alternate basis space, Then A is T in Ssub0 and B is T in Ssub1 and C is the change of basis matrix. Or maybe i shut up. thanks!

[TomRiverstone]

gr8 vidoe man!