1. The problem statement, all variables and given/known data The matrix A =(1,2,3;4 5 6) defines a linear transformation T: R^3-->R^2 . Find the transformation matrix for T with respect to the basis (1,0,1),(0,2,0),(-1,0,1) for R^3 and the basis (0,1),(1,0) for R^2. 2. Relevant equations - 3. The attempt at a solution I have no idea really. How do I change basis here when I have to basis?