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

Prove B^T ~ A^T (tranpose)

Given: B ~ A

Can anyone check if my proof is correct? Towards the end I'm not quite sure if I can do it like that. Do I have to say what P is exactly? The only matrix I can think that would satisfy that is the identity matrix.

2. Relevant equations

3. The attempt at a solution

B ~ A

B = P^-1 * A * P

B^T = P^T * A^T * (P^-1)^T

so P is a matrix that where P^T = P^-1 therefore (P^T)^-1 = P

B^T = P^-1 * A^T * P

B^T ~ A^T

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# Homework Help: Proof Similarity

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