"Suppose that T : V -> V is a linear transformation of vector spaces over R whose minimal polynomial has no multiple roots. Show that V can be expressed as a direct sum V = V1 + V2 + · · · + Vt of T-stable subspaces of dimensions at most 2. Show that, relative to a suitable basis, T can be represented by an n × n matrix with at most 2n non-zero entries, where n := dim(V)." Our professor is a little behind in lectures, but our assignments are still rolling full speed ahead. I'm not sure where to start. Can someone give me a hint?