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

Answer the following questions. If A=[[2,1,-3],[0,2,6]],B=[[1,0,-2],[3,-1,4]] ,find AB^T and A^TB

If A=[[9,-8,7],[-6,5,-4],[3,-2,1]] and B=[[1,0,0],[0,1,0],[0,0,1]] then find AB and BA.

If A=[[2,-3],[5,-4],[-6,1]],B=[[-1,2],[2,2],[0,3]] and C=[[4,3],[-1,4],[-2,1]] show that: A+B=B+A

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'

Answer the following questions. If A=[[1,-1,0],[2,3,4],[0,1,2]] and B=[[2,2,-4],[-4,2,-4],[2,-1,5]] ,show that BA=6I

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

Answer the following questions.If A=[[1,2,3],[2,4,6],[1,2,3]] and B=[[1,-1,1],[-3,2,-1],[-2,1,0]] ,show that AB and BA are both singular matrices.

Let A=[[2,-3],[-4,5]]_(2xx2),B=[[1,4],[2,-3]]_(2xx2) Find AB and BA whichever exist?

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