Question

Easy one ( I hope):

Suppose P is invertible and A=PBP^-1. Solve for B in terms of A.

I believe the answer is just A=B. Because applying P to B, and then applying the inverse to that should just "undo" everything P did.. right?

Answer 1

does matrix multiplication follow commutative law ??

Answer 2

Nevermind, I think thats incorrect.

Should be \[P^{-1}AP = B\]

Answer 3

yes, thats correct.

Answer 4

thanks!

Answer 5

welcome ^_^