Let A and B be n-by-n matrices. Which of the following conditions is sufficient to conclude that AB=BA? (a) A+B=B+ A. (c) A² B² = (A + B)(A − B). - (b) (AB)² = A²B². (d) (A + B)² = A²+ B².

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A and B be n-by-n matrices. Which of the following conditions is sufficient to conclude that
AB=BA?
(a) A+B=B+ A.
(c) A²-B² = (A + B)(A − B).
(b) (AB)² = A²B².
(d) (A + B)² = A² + B².
Transcribed Image Text:Let A and B be n-by-n matrices. Which of the following conditions is sufficient to conclude that AB=BA? (a) A+B=B+ A. (c) A²-B² = (A + B)(A − B). (b) (AB)² = A²B². (d) (A + B)² = A² + B².
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