1. The problem statement, all variables and given/known data If I am giving a matrix A representing the linear transformation L(x) = Ax, then A is the matrix-representation of L with respect to the basis elements in the vector-space S (standard). If I am now given another vectorspace V by the matrix V, and I want to find the matrix B representing L with respect to the bases S and V, I use: B = V^(-1) * S. 3. The attempt at a solution Is what I wrote correct? Thanks in advance. Sincerly, Niles.