If `A=[[2,-3,4],[-1,0,3],[4,-5,-5]]`then `(alpha A)'=alpha.A'`

If A=[[2,-3,4],[-1,0,3],[4,-5,-5]] then find A'

If A=[[2,-3,4],[-1,0,3],[4,-5,-5]] then verify that (A')'= A

If A=[[7,3,0],[0,4,-2]],B=[[0,-2,3],[2,1,-4]] ,then find 5A^T-5B^T

If A = [[3,1,],[4,0]] , B = [[4,0],[2,5]] then verify that (AB)^-1 = B^-1A^-1 .

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A+B)'=A'+B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A-B)'=A'-B'

If A=[[1,-2],[3,-5][-6,0]],B=[-1,-2],[4,2],[1,5]] and C=[[2,4],[-1,-4],[-3,6]] ,then find the matrix X such that 3A-4B+5X=C

If A=[[-1,2],[4,-3],[5,6]] and B=[[0,3,5],[4,2,6]] find AB and BA.

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that 3(A+B)=3A+3B

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],[0,-2,3]] verify that A(B+C)=AB+AC