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If A = [(1,-2,3),(-4,2,5)], B = [(2,3),(...

If `A = [(1,-2,3),(-4,2,5)], B = [(2,3),(4,5),(2,1)]` do AB and BA exist? If they exist, find them.
Do A and B commute with respect to multiplication?

Text Solution

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The correct Answer is:
AB and BA exist, `AB=[(0,-4),(10,3)],BA=[(-10,2,21),(-16,2,37),(-2,-2,11)]` AB and BA are not commute.
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