2-2 5 -13 23 1B = |-2 0 -10 112. LetA =143a) Verify the general result, det(AB) = det(A) det(B), for the above given matrices.b) Use the general result of (a), det(AB) = det(A) det(B), to show that det(M-1) =det(M)for a general matrix, M.

2 -2 5 A = 1 4 3 1 1 |-2 0 -1 0 1 2. Let 3 2 B : 3 a) Verify the general result, det(AB) = det(A) det(B), for the above given matrices. 1 b) Use the general result of (a), det(AB) = det(A) det(B), to show that det(M-1) = det(M) for a general matrix, M.

2 -2 5 A = 1 4 3 1 1 |-2 0 -1 0 1 2. Let 3 2 B : 3 a) Verify the general result, det(AB) = det(A) det(B), for the above given matrices. 1 b) Use the general result of (a), det(AB) = det(A) det(B), to show that det(M-1) = det(M) for a general matrix, M.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CM: Cumulative Review

Problem 29CM

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Question

2
-2 5 -1
3 2
3 1
B = |-2 0 -1
0 1
1
2. Let
A =
1
4
3
a) Verify the general result, det(AB) = det(A) det(B), for the above given matrices.
b) Use the general result of (a), det(AB) = det(A) det(B), to show that det(M-1) =
det(M)
for a general matrix, M.

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