Show that `AB=BA`where, `A=[[-2,3,-1],[-1,2,-1],[-6,9,-4]],B=[[1,3,-1],[2,2,-1],[3,0,-1]]`

Find A if [[1,0,-1],[-2,-1,4],[-1,0,2]]A = [[-1,-2,2],[3,4,-3],[3,4,-1]]

Find X , if AX = B , where A = [[1,2,3],[-1,1,2],[1,2,4]] and B = [[1],[2],[3]] .

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.

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]]

Verify that A(BC)=(AB)C in each of the following: A=[[1,0,1],[2,3,0],[0,4,5]],B=[[2,-2],[-1,1],[0,3]] and C=[[3,2,-1],[2,0,-2]]

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 (BA)^T=A^TB^T

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

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

Find the matrix X such that AX=B , where A = [[1,2],[-1,3]] , and B = [[0,1],[2,4]]