In Exercises 47–52, assume that A and B are n × n matrices with det A = 3 and det B = -2. Find the indicated determinants. 47. det(AB) 48. det(A³) 49. det(B¯ 'A)

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.5: Determinants
Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
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In Exercises 47-52, assume that A and B are n X n matrices
with det A = 3 and det B = -2. Find the indicated
determinants.
47. det (AB)
48. det(A?)
49. det(B'A)
50. det(2A)
51. det(3B")
52. det(AA")
Transcribed Image Text:In Exercises 47-52, assume that A and B are n X n matrices with det A = 3 and det B = -2. Find the indicated determinants. 47. det (AB) 48. det(A?) 49. det(B'A) 50. det(2A) 51. det(3B") 52. det(AA")
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