[SOLVED] Linear algebra; changing bases 1. The problem statement, all variables and given/known data I have two bases E and F given by: E = [1, x, x^2] F = [1-x, x-x^2, x^2]. I want to find the transition-matrix S that goes from E to F. 3. The attempt at a solution To do this, I must write one basis as a linear combination of the other. I am just confused about which way? Since we are going from E to F, I believe I have to write F as l.c. of E, so for 1 - x we have the vector (1,-1,0)^T. Am I right or is it the other way around? I hope you can help, thanks in advance.