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

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

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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?

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I: If A=[(-2,1,0),(3,4,-5)],B=[(1,2),(4,3),(-1,5)] then A+B^(T)=[(-1,5,-1),(5,7,0)] II: If A=[(2,-1,2),(1,3,-1)],B=[(3,-2,1),(2,0,-1)] then (AB^(T))^(T)=[(10,2),(-4,3)]

I: If A=[(0,1,2),(2,3,4),(4,5,-6)],B=[(-1,2,3),(0,1,0),(0,0,-1)] then 4A-5B=[(5,-6,-7),(8,7,16),(16,20,-19)] II:If A=[(1,2,3),(3,2,1)]B=[(3,2,1),(1,2,3)] then 3B-2A=[(7,2,-3),(-3,2,7)]

If A = [(-2,-4),(5,0),(-1,4)], B=[(-2,3,1),(4,0,2)] then find 2A + B' & 3B'-A .

If A = [(0,1,2),(2,3,4),(4,5,-6)], B=[(-1,2,3),(0,1,0),(0,0,-1)] then find B-A and 4A - 5B .

If A=[(2,3,-1),(7,8,5)] and B=[(1,0,1),(2,-4,-1)] then find A+B.

IF A=[{:(7,-2),(-1,2),(5,3):}],B=[{:(-2,-1),(4,2),(-1,0):}] then find AB' and BA'

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] , then compute (A+B) and (B-C) . Also, verify that A+(B-C)=(A+B)-C .