Let A, B and C be 3x3 invertible matrices where det(A)=−4 ,det(B)=−2 and det(C) is some non-zero scalar. Find:(adsbygoogle = window.adsbygoogle || []).push({});

det[−2(A^2)^T x C^2 x B^−1 (C^−1)^2]

So (A^2)^T is just A^2 since the transpose's det is the same.

(C^-1)^2 = C^-2

C^-2 * C^2 = 1 (so just cancelled it out)

Inverse of B = 1/-2 = -1/2

So we have det[-2(A^2) x B^-1

I then sub in -2(-4^2) x -1/2 = -2(16)/-2

Which evaluates to 16, however this answer is wrong :(

Don't know what I did wrong. Can anyone spot a mistake?

Thanks :D

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# What's wrong with my algebra here? (dealing with determinants)

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