If A and B are 4x4 matrices, det(A) = -4, det(B) = 3, then

(e) det(B^2) = ???,

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`det(B^2)=det(B)det(B)=3cdot3=9`

Note the solving for determinants is distributive:

Hence,

I'm sorry. We are solving for `det(B^2)`

Using the same technique, `det(B^2) = det(BB)=det(B)det(B)=[det(B)]^2 = 3^2 = 9`

Sorry, got confused with the numbers.

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