If `A =[[ 2, -1 , 3] , [ -4, 5 ,1 ]] ` and `B= [[2,3] , [4, 2], [1,5]]` then `AB`

If A=[[2, 1, 4], [4, 1, 5]] and B=[[3,-1], [2, 2], [1,3]] . Write the orders of A B and B A .

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

Given A=[[1,-1, 0], [2, 3, 4], [0, 1, 2]], B= [[2,2,-4],[-4,2,-4],[2,-1,5]] find AB and use this to solve the system of equations: y+2x=7,x-y=3,2x+3y+4z=17

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],[ 1,-2, 3]] , then compute (A+B) and (B - C) . Also, verify that A + (B - C) = (A + B) - C .

If A=[[2,1],[3,0],[5,1]] and B = [[4,0],[3,8]] then find AB

If A=[[3, -1, 4], [2, 3, 1]], B=[[1, 3, 4], [2, 1, 0], [-3, 2, 3]] find AB

If A=[[2/3, 1, 5/3],[ 1/3, 2/3, 4/3] ,[7/3, 2, 2/3]] and B=[[2/3, 3/5, 1],[ 1/5, 2/5, 4/5],[ 7/3, 6/5, 2/5]] , then compute 3A - 5B .

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