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## Homework Statement

If A and B are invertible matrices and B is similar to A, prove that B

^{-1}is similar to A

^{-1}

## Homework Equations

## The Attempt at a Solution

Not sure how to do this.. I know that similar matrices have the same characteristic polynomials and the same eigenvalues and same determinant.. but I'm not sure how to tie that in with their inverses..