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

Let B = S^-1 * A * S and x be an eigenvector of B belonging to an eigenvalue [tex]\lambda[/tex]. Show S*x is an eigenvector of A belonging to [tex]\lambda[/tex].

2. Relevant equations

3. The attempt at a solution

The only place I can think of to start, is that B*x = [tex]\lambda[/tex]*x.

However, even starting with that, I can't figure out where to go next.

Could someone point me in the right direction?

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# Homework Help: Eigenvector Proof

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