If A = `[(4,1),(7,2)]` find a matrix B such that AB = I where I is the unit matrix of order 2.

If A=[(1,2),(3,4)] , find a matrix B such that AB=I .

Let the metrix A be given by A = ((2,1),(3,4)) . Obtain a matrix B such that AB = BA = I where I is the unit matris of order 2. Using this matrix B, solve for x and y from the following equations: 2x + y = 15 and 3x + 4y = 23

If A = {:((0,-1,2),(2,-2,0)) and B = ((0,1),(1,0),(1,1)) , find a matrix C such that CAB = I = ABC, where I is the 2xx2 unit matrix.

If A = [(4,5),(5,6)] show that, A^(2) = 10A + I where I is the unit matrix or order 2. Hence, find the inverse of A.

If A=[[5,4],[-2,3]] and B=[[-1,3],[4,-1]] ,then find C^T such that 3A-2B+C=I ,where I is the unit matrix of order 2.

If A = [(2,2),(4,3)] show that, A A^(-1) =I_(2) wher I_(2) is the unit matrix of order 2.

If A = [[4,5],[5,6]] , show that A^2 = 10A + I where I is the unit matrix of order 2.

If A = [[2,2],[4,3]] show that A A^(-1) = I_2 where I_2 is the unit matrix of order 2.