Assume that A and B are nxn matrices. Which one of the following statements is NOT always true? 1. (AB)¯' = B¬Aª if A and B are invertible. 2. A(B+C)= AB+ AC. 3. If AB = BA, then (A+B) = A² +2AB+B² . 4. (AB)' = B' A'. 5. If AB = 0, then A=0 or B= 0.
Assume that A and B are nxn matrices. Which one of the following statements is NOT always true? 1. (AB)¯' = B¬Aª if A and B are invertible. 2. A(B+C)= AB+ AC. 3. If AB = BA, then (A+B) = A² +2AB+B² . 4. (AB)' = B' A'. 5. If AB = 0, then A=0 or B= 0.
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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