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.

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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.
Transcribed Image Text: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.
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