X = [1 1]

......[1 1]

Y = [1 -1]

.....[-1 1]

Let A = aX and B= bY, where a and b are constants.

Use different values of a and b to calculate A^2, A^3, A^4 ...., B^2, B^3...

By consedering integer powers of A and B, find expression for A^n, B^n , (A+B)^n

Please help me to figure out this problem!! thanks in advance..