Assume A and B are invertible n-by-n matrices. Which of the following identities is false? O det AT = det A O det A = 1/ det A O det 2A = 2 det A O det (AB) = det (BA)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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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3. Assume A and B are invertible n-by-n matrices. Which of the following identities is false?
det AT = det A
det A = 1/ det A
det 2A = 2 det A
det (AB) = det (BA)
Transcribed Image Text:3. Assume A and B are invertible n-by-n matrices. Which of the following identities is false? det AT = det A det A = 1/ det A det 2A = 2 det A det (AB) = det (BA)
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