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## Homework Statement

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].

## Homework Equations

## 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?