[SOLVED] Column space, matrix 1. The problem statement, all variables and given/known data I have a linear transformation f from R^4 -> R^4 given by a matrix. I have to find the range of f(R^4) which containts the vector (x,y,z,w)^T. 3. The attempt at a solution I know that the range of f is the column space, how do I make sure that the vector (x,y,z,w)^T is part of the range? Thanks in advance.