Suppose that det(A) = 2, det(B) = 5, C is obtained by switching two rows of A and multiplying a row by 3, D is obtained by multiplying a column of A by −2, and all four matrices are 3 × 3. Compute the following: det(AB), det(2A), det(AT ), det(C), and det(D). Can you compute det(A + B) using the given information? Explain your answer.

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given detA 2 detB 5 as we know by switching two rows determ... View the full answer