Answer Happy

b) 11 Marks Suppose that T:V - W is a function from V to W. i) Write down what it means for T to be a linear transformation. ii) Suppose that U is a vector subspace of W and we define the subset Z of V by Z = {v EV:T(v) € U}. Show that Z is a vector subspace of V. Most of the marks are for the explanation.
iii) Conclude that N(T) is a vector subspace of V. a