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zeion
#1
Feb18-10, 04:51 PM
P: 467
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..
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