1. The problem statement, all variables and given/known data Find a basis for the image of the linear transformation T: R^4 -->R^3 given by the formula T(a,b,c,d) = (4a+b -2c - 3d, 2a + b + c - 4d, 6a - 9c + 9d) 2. Relevant equations 3. The attempt at a solution Well this question followed asking about the basis for the kernel which was easy enough. Unfortunately my notes on this aren't very clear and I don't know where to start.