Suppose UUU is a subspace of VVV such that dimV/U=1\dim V/U = 1dimV/U=1. Prove that there exists ϕ∈L(V,F)\phi \in \mathcal L(V,\mathbf{F})ϕ∈L(V,F) such that null ϕ=U\text{null }\phi = Unull ϕ=U.
TODO