Question

Matrices, I'm confused on the process you have to go through?

Let R[x]=<2 be the vector space of polynomials of degree at most 2, over R. Let e1, e2, e3 and e1',e2',e3' be the bases 1,x,x^2 and 1,(1-x),(1-x)^2.

Write down the basis change matrices from basis ei' to basis ei.