Prove that if matrices A and b are similar and A is diagonalizable, then B is diagonalizable.
this shows that A and B are similar i believe
A = [P][P]^-1
D = [P]^-1 [A] [P]
means A is diagonalizable
The Attempt at a Solution
I believe this is a simple proof but i want to know the reason behind each step of the proof.
this is what i've tried D =[p]^-1 ([P][P]^1)[P]
what i did was plug in A from the first equation into the second so i would get
[D]= ? this this right?