(b) Let A and B be 4 x 4 matrices such that det A = 3 and det B = -7. Compute the following determinants: (1) det(AB) (2) det(2A) (3) det(BT) (4) det(B-¹) (5) det(A³)

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
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(b) Let A and B be 4 x 4 matrices such that det A = 3 and det B = -7. Compute the
following determinants:
(1) det(AB)
(2) det(24)
(3) det(BT)
(4) det(B-¹)
(5) det (4³)
Transcribed Image Text:(b) Let A and B be 4 x 4 matrices such that det A = 3 and det B = -7. Compute the following determinants: (1) det(AB) (2) det(24) (3) det(BT) (4) det(B-¹) (5) det (4³)
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