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

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]]

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

Solve the following: A=[1, 3, 2], B=[[3],[2],[1]] find AB

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=[[1,-3],[4,2]],B=[[4,1],[3,-2]] show that AB!=BA

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

Apply the given elementary transformation on each of the following matrices: A = [[1,-1,3],[2,1,0],[3,3,1]] , Apply 3R_3 and then C_3+2C_2

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=[[x,2,3],[-1,5,3]] , B=[[1,-2,y],[1,z,-2]] and C=[[3,0,1],[0,2,1]] , also A+B-C=O then find x,y,z