Let f:R2->R2 be the linear transformation defined by f(x)=[2 2 3 5]x . Let B={<1,-1>,<-3,4>}, C = {<1,-2>,<2,-3>}, be two different bases for R2.

A) Find the matrix [f]BB for f relative to the basis B.

[f]BB=

B) Find the matrix [f]CC for f relative to the basis C.

[f]CC=

C) Find the transition matrix [I]BC from C to B.

[I]BC=

D) Find the transition matrix [I]CB from B to C. (Note: [I]CB=([I]BC)^-1.)

[I]CB=