1. The problem statement, all variables and given/known data Prove that if matrices A and b are similar and A is diagonalizable, then B is diagonalizable. 2. Relevant equations this shows that A and B are similar i believe A = [P][P]^-1 and D = [P]^-1 [A] [P] means A is diagonalizable 3. 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?