1. The problem statement, all variables and given/known data http://img526.imageshack.us/img526/743/93134049.png [Broken] 2. Relevant equations Just the standard linear mapping properties and theorums. 3. The attempt at a solution I have already solved part A by considering the transformation A: Rn -> R | A(x) = a.x where x is a vector in Rn, and finding the dimension of the nullspace. I am stuck on where to begin the proof for part b, once I have b I don't think I will have a problem generalizing it for part c.