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 3(A+B)=3A+3B

If A=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (AB)^T=B^TA^T

If A=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (BA)^T=A^TB^T

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

Answer the following questions.If A=[[2,-3],[3,-2],[-1,4]],B=[[-3,4,1],[2,-1,-3]] verify (3A-5B^T)^T=3A^T-5B

Answer the following questions.If A=[[2,-3],[3,-2],[-1,4]],B=[[-3,4,1],[2,-1,-3]] verify (A+2B^T)^T=A^T+2B

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

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

If A=[[1,0,1],[3,1,2]],B=[[2,1,-4],[3,5,-2]], and C=[[0,2,3],[-1,-1,0]], verify that [A+2B+3C]^T=A^T+2B^T+3C^T

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