If `A=[[1,-2],[2,3]]` and `B=[[1,2,3],[2,3,1]]` then find `A*B`

If A=[[1,4,-1],[2,6,5]] and B=[[3,-2,-6],[2,0,-7]] , find A+B and A-B

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

If Aprime=[[-2, 3],[ 1, 2]] and B=[[-1, 0],[ 1, 2]] , then find (A+2B)^(prime) .

If A=[[1,-2, 3,],[ 4, 2, 5,]] and B=[[2, 4], [2,3],[ 5, 1]] , then find AB, BA. Show that A B!=B A .

If A=[[2,3],[1,-4]] and B=[[1,-2],[-1,3]] , then verify that (A B)^(-1)=B^(-1)A^(-1)

If A=[[ 2, -1],[3 , 1]] and B=[[1, 4],[7, 2]], find 3A-2B

Given A=[[sqrt(3),1,-1],[2, 3, 0]] and B=[[2, sqrt(5),1],[-2,3, 1/2]] , find A +B .

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

If A=[[1, 1,-1],[ 2, 0, 3],[ 3,-1, 2]] , B=[[1, 3],[0,2],[-1, 4]] and C=[[1,2, 3,-4],[ 2, 0,-2, 1]] , find A(BC), (AB)C and show that (A B)C = A(B C) .

If A=[[-1,-1,3],[1,2,4],[2,-1,3]],B=[[1,-2,5],[0,-2,2],[1,2,-3]],C=[[-2,1,2],[1,1,2],[2,0,1]] then find A+B+C