Question

Are (n*n) matrices commutative?

Eg if A=PDP^(-1)
-> A=DPP^(-1)
-> A=D?

Where all matrices are (n*n) or (3*3)

Answer 1

matrices have NON commutative property.

Answer 2

ex. let A and B be square matrices. AB=/= BA.

Answer 3

So how would I go about solving for D in the equation

A=PDP^(-1)

Answer 4

are you learning eigen vector/ eigenvalue followed by diagnolization? is that where A and D comes from?

Answer 5

if so, by definition, D= P^-1AP... matrix multiplication does move from right to left.

Answer 6

I'm not too sure, I was just trying to solve the problem.

Thanks anyway :)

Answer 7

Do some reading here:
http://tinyurl.com/c3jahq3