(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that if A is idempotent matrix of order n and B is similar to A, then B is idempotent

3. The attempt at a solution

I was just wondering if my attempt at the solution right here is correct.

Given: A^{2}=A and B=Q^{-1}AQ

Attempt: B=Q^{-1}QA B=IA B=A

Therefore, B=A^2 B=A(A) B=B(B) B=B^{2}

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# Homework Help: Similar matrix proof involving idempotency

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