Let T : R^2 →R^2 be the map defined by T(x) = Ax, where A is pictured (a) Find a basis B for R2 so that M(T) is a diagonal matrix. Where M(t) is the matrix of the eigen vectors. (b) Let x = (2,−3)....

Let T : R^2 →R^2 be the map defined by T(x) = Ax, where A is pictured

(a)   Find a basis B for R2 so that M(T) is a diagonal matrix. Where M(t) is the matrix of the eigen vectors.

(b)  Let x = (2,−3). Compute A10(x) by using the matrix M(T) above. Don’t forget to convert x to the basis B, and then convert back.

I really need help with part b