1. The problem statement, all variables and given/known data If we have a 3x5 matrix: The row space is in r5, the col space is in r3, and the nullspace is in r3 correct? Because you would need 5 components to be a member of r5 so the col space cannot be a member of r5 correct? Here is the question: http://prntscr.com/evo91g 2. Relevant equations 3. The attempt at a solution Am I getting something fundamentally wrong here? Or is the question just wrong? I believe I'm right for reasons mentioned above.