If `A={:[(2,0,-5),(-3,4,7)] and B={:[(3,1,-1),(4,5,0)]` then prove that
`(A+B)'=A'+B'`
`(A-B)'=A'-B`

If A'=[(3,4),(-1,2),(0,1)] and B=[(-1,2,1),(1,2,3)] , then verify that (i) (A+B)' =A'+B', (ii) (A-B)'=A'-B'

If A=[(-1,2,3),(5,7,9),(-2,1,1)] and B=[(-4,1,-5),(1,2,0),(1,3,1)] , then verify that (i) (A+B)'=A'+B' , (ii) (A-B)'=A'-B'

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

If A={:[(-2,1,3),(0,4,-1)]and B={:[(2,1),(-3,0),(4,-5)], show that, (AB)' = B'A' where A' is the transpose of A.

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

If A={:[(1,2,5),(-1,3,-4)]:} and B={:[(3,-2,1),(0,-1,4),(5,2,-1)]:}, show that, (AB)^(T)=B^(T)A^(T) where A^(T) is the transpose of A.

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

If A = [{:(2,5),(2,1):}] and B = [{:(4,-3),(2,5):}] ,verify that |AB|=|A||B|.

If A = [(-3,-4),(4,5)] and B = [(2,-3),(5,-8)] , verify that (AB)^(-1) = B^(-1)A^(-1) .

If A-2B ={:[(1,5),(3,7)]and 2A-3B = {:[(-2,5),(0,7)]:} then matrix B is equal to__