1. The problem statement, all variables and given/known data
If A and B are invertible matrices and B is similar to A, prove that B^{1} is similar to A^{1}
2. Relevant equations
3. 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..
