Let V and W be finite-dimensional. Consider E = {T ∈ L(V, W) | WTv = 0} for v ∈ V.
(a) Is E a subspace of L(V, W)?

A) Yes
B) No
(b) If v ≠ 0, what is the dimension of E?
A) 0
B) 1
C) dim(V) - dim(W)
D) dim(W) - dim(V)