- #1
zenn
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Need some help on how to prove this:
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.
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.