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,-3],[5,-4],[-6,1]],B=[[2,1],[4,-1],[-3,3]] and C=[[1,2],[-1,4],[-2,3]] ,show that (A+B)^T=A^T+B^T

If A=[[2,-3],[5,-4],[-6,1]],B=[[2,1],[4,-1],[-3,3]] and C=[[1,2],[-1,4],[-2,3]] ,show that (A-C)^T=A^T-C^T

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,-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=[[3,0],[-3,1],[4,1]],B=[[1,0],[-2,1],[7,2]] and C=[[5,7],[1,0],[2,5]] .Find the matrix x such that 2A-3B+4x=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.

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=[[3,4],[-4,3]] and B=[[2,1],[-1,2]] show that (A+B) . (A-B)=A^2-B^2

Verify that A(B+C)=AB+AC in each of the following matrices A=[[1,-1,3],[2,3,2]],B=[[1,0],[-2,3],[4,3]] and C=[[1,2],[-2,0],[4,-3]]

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