Question: Let A and B be 3 3 matrices with det(A) = 4, det(B) = 6 and let E be an elementary matrix of type

Let A and B be 3 × 3 matrices with det(A) = 4, det(B) = 6 and let E be an elementary matrix of type I. Determine the value of each of the following:
(a) det(1/2A)
(b) det(B−1AT)
(c) det(EA2)

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