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

If A is similar to A^(-1) (=inverse of A), must all the eigenvalues equal 1 or -1?

2. Relevant equations

3. The attempt at a solution

I don't know why the textbook gives me the specific value 1 or -1.

If A is similar to its inverse, are the eigenvalues really 1 or -1? Why? Help!

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# Linear Algebra) If A is similar to inverse of A, must all the eigenvalues equal 1?

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