Find, where possible, A + B, A - B, AB and BA stating with reasons, where the operations are not pssible, when
`A={:[(4,2,-1),(3,-7,1)]:}and B={:[(2,3),(-3,0),(-1,5)]:}`

Verify that (AB)^(T)=B^(T)A^(T), where A={:[(1,2,3),(3,-2,1)]and B={:[(1,2),(2,0),(-1,1)] .

If A={:[(2,-1),(3,2)]:} and B={:[(0,4),(-1,7)]:}, find 3A^(2)-2B+I

Determine the matrices A and B, where A+2B={:[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B={:[(2,-1,5),(2,-1,6),(0,1,2)]:} .

If A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2B .

If A={:[(0,2,3),(2,1,4)]andB={:[(7,6,3),(1,4,5)] , find 2A+3B.

Find the matrices A and B for which: {:2A+B={:[(1,2,3),(-1,-2,-3),(4,2,3)] and A+2B={:[(0,2,3),(4,1,7),(1,1,5)]

Test whether the following matrices A and B are conformable for A + B, AB and BA and find their values when they are conformable : A={:((1,2),(0,1))and B={:((1,0),(0,1)):} A={:[(2,3),(5,6),(7,8)]:}and B={:[(3,8,5),(2,1,1),(1,3,3)]:}

Find a matrix X such that 2A + B + X = 0 where A={:[(-1,2),(3,4)],B={:[(3,-2),(1,5)]:}

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

If A={:((2),(3),(-1)) and B = (3 5 7), find AB.