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

If A=[(2,0),(1,4)] and B=[(-1,2),(3,0)] , then find (AB)'.

If A^(-1) =[(0,1),(1,0)] and B^(-1) =[(1,0),(0,1)] , then find (AB)^(-1)

If A=[(4,2),(-1,1)], I=[(1,0),(0,1)] find A^2-5A+6I

If A=[(2,-1),(3,2)] and B =[(0,4),(-1,7)] , then find 3A^(2) -2B+1 .

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

If A=[(1,2),(3,4)], B=[(2,1),(4,3)] , find (A-B)(A+B) and A^2-B^2 .

If A[(-1,0),(0,1)] and B=[(0,1),(1,0)] , show that (A+B)^2 ne A^2+2AB+B^2 .

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

If A=[{:(-2,3),(1,2):}] and B=[{:(-1,0),(1,2):}] , then find (A+2B)' .

Examine whether A^2-2B is singular, given : A=[(-1,1,2),(3,0,4),(2,1,-2)] and B=[(2,-3,-4),(-1,0,-1),(0,-1,0)]