1. The problem statement, all variables and given/known data Given that T is the linear operator on R3 with T(1,1,1) = (0,0,1), T(1,1,0) = (1,2,1), T(1,0,0) = (0,-1,0), determine the eigenvalues of T and a corresponding eigenvector for each eigenvalue. 2. Relevant equations 3. The attempt at a solution I know how to find eigenvalues and vectors but usually the matrix is given.. I'm not sure how to represent these transformations as one whole matrix.. or do I need to do them separately?