(adsbygoogle = window.adsbygoogle || []).push({}); Question. Prove det(A^n) = det(A) ^ n

I have:

det(AB) = det(A)det(B) (holds for any number of factors)

set A=B

det(AA) = det(A)det(A)

det(A^2) = det(A)^2 ?

Is this enough for a proof?

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# Homework Help: Det(A^n) = det(A)^n

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