(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Homework Help: Linear Algebra Proof, similar diagonalizable matrices

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