Need some help on how to prove this:(adsbygoogle = window.adsbygoogle || []).push({});

Let A and B be two non-zero square matrices of n x n, if AB = 0n, then det(A) and det(B) must both equal to 0.

I know if det(AB) = 0, then det(A) or det(B) must be 0, but here the question states that they must both be 0.

Appreciate any help, thanks.

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# Determinant question

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