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

If A and S are n x n matrices with S invertible, show that det(S^{-1}AS)=det(A). [HINT:Since S^{-1}S=I_{n}, how are det(S^{-1}) and det(S) related?]

2. Relevant equations

3. The attempt at a solution

Not sure. The only thing I can think of doing is substituting S^{-1}S=I_{n}into det(S^{-1}AS), so you have det(I_{n}A)=det(A), but I really don't know. Can somebody get me started so we can work through it?

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# Homework Help: Matrix determinants and inverses

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