If `A = [[2,-1] , [0,1]]` and `B=[[1,0], [-1,-1]]` find `AB`

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

If A=[[1, 2],[ 3,-1]] and B=[[1, 0],[-1 ,0]] , find |A B| .

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

If A=[[1, 0],[ 0,-1]] and B=[[0 ,1], [1, 0]] , then find AB,BA. Show that 'A B!=B A .

If A=[[3,2],[0,5]]and B=[[1,0],[1,2]] then find (A+B)(A-B)

If A=[[10,3],[1,2]] and B=[[1,0],[1,-1]] , verify that (AB)\'=B\'A\'

If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of alpha for which A^2=Bdot

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

If A=[[0,i],[i,1]] and B=[[0, 1],[1, 0]] , find the value of |A|+|B| .

Let matrix A = [[1,0,0],[25,1,0],[25,0,1]] and a matrix B of third order with its columns as B_1 , B_2 , B_3 be such that AB_1 = [[1],[25],[25]] , AB_2 = [[0],[1],[0]] , and AB_3 = [[0],[0],[1]] . Find det(adj B) .