1. The problem statement, all variables and given/known data Let U = span({(1, 2, 1)^{t}, (1, 0, 0)^{t}}) and V = span({(0, 1, 1)^{t}}) be subspaces of R^{3}. Find the matrix B representing the projection onto V parallel to U. 2. Relevant equations 3. The attempt at a solution If a matrix C with range U and and a matrix D whose nullspace is V then we can find the projection of matrix B B = C(DC)^{−1}D Is my thought correct?