1. The problem statement, all variables and given/known data Find a 2 x 2 matrix A for which: E2 = span (-3, 5) E1 = span (1, -2) where E is the eigenspace associated with each eigenvalue. 2. Relevant equations 3. The attempt at a solution I know that to find the eigenspace from the matrix A I would use the equation E2 = ker (2(Identity) - A) but I can't figure out how to go backwards from the eigenspaces to the matrix A.