Suppose that A and B are invertible n x n matrices. Which of the following statements is true. A. [(AB)-" = (A-)"(B-1)" B. [(AB)-" - (B-)"(A-)7 C. ((AB)-"-B-ABT AT D. None of the above

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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llO 85% 9:39 AM
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Suppose that A and B are invertible n x n matrices. Which of the following statements is true.
A. [(AB)-|" = (A-1)7(B-1)"
B. [(AB)-" = (B-)"(A-')7
C. [(AB)-"= B-A-BT AT
D. None of the above
Transcribed Image Text:llO 85% 9:39 AM You 1 minute ago Suppose that A and B are invertible n x n matrices. Which of the following statements is true. A. [(AB)-|" = (A-1)7(B-1)" B. [(AB)-" = (B-)"(A-')7 C. [(AB)-"= B-A-BT AT D. None of the above
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