Hello,
X^2=2X, X^3=(2X)X=2^2X^2,...
Y^2=2E, Y^3=(2E)Y=2Y,...
Now, A^n=(aX)^n=a^nX^n.
For (A+B)^n, compute them for n=2,3,4,... to see what is going on or just use the binomial theorem.
Bye.
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..