Homepage › Solution manuals › Stephen Friedberg › Linear Algebra › Exercise 2.1.19
Let T : ℝ2 → ℝ2 and T(x,y) = (y,x) and U is the identity map from ℝ2 → ℝ2. Then we have N(T) = N(U) = {0} and R(T) = R(U) = ℝ2.