Give two matrices A and B
`A=[(1,-2),(1,4)]` and `B=[(11,-5),(-1,-1)]`, Find AB .

Given the matrices A and B as A=[(1,-1),(4,-1)] and B=[(1,-1),(2,-2)] . The two matrices X and Y are such that XA=B and AY=B , then find the matrix 3(X+Y)

Given two matrices A and B, A = [(1,-2,3),(1,4,1),(1,-3,2)] , B = [(11,-5,-14),(-1,-1,2),(-7,1,6)] Find AB and use this result to solve the following system of equations : x - 2y + 3z = 6, x + 4y + z = 12, x-3y + 2z = 1

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

Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

If A=[(3, 0),(5, 1)] and B=[(-4,2),(1, 0)] Find A^(2)-2AB+B^(2)

Give the matrices : A=[{:(,2,1),(,4,2):}], B=[{:(,3,4),(,-1,-2):}] and C=[{:(,-3,1),(,0,-2):}] . Find : (i) ABC (ii) ACB. State whether ABC=ACB.

Determine the matrices A and B where A + 2B = [(1, 2, 0), (6, -3, 3), (-5, 3, 1)] and 2A - B = [(2, -1, 5), (2, -1, 6), (0, 1, 2)]

if A=[{:(4,0,-3),(1,2,0):}]and B=[{:(2,1),(1,-2),(3,4):}]' then find AB and BA.

Solve for matrics A and B , where 2A + B = [{:( 3,-4),(2,7) :}] and A - 2B =[{:( 4,3),(1,1):}]