Are (n*n) matrices commutative?

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

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

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)

anonymous · Answer

matrices have NON commutative property.

anonymous · Answer

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

chaise · Answer

So how would I go about solving for D in the equation

A=PDP^(-1)

anonymous · Answer

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

anonymous · Answer

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

chaise · Answer

I'm not too sure, I was just trying to solve the problem. 

Thanks anyway :)

directrix · Answer