6. Let V be a subspace of R". Let P denote the matrix which represents projection of R” onto V: so Pi = projy7, for all
Posted: Thu May 12, 2022 9:58 am
6. Let V be a subspace of R". Let P denote the matrix which represents projection of R” onto V: so Pi = projy7, for all a. Explain why if ū e V, then PT = 7. (Hint: think about the definition of projection and error vectors.) b. Explain why Col P=V. c. Prove that p2 = P.