= 2. Let P be the plane in R through the origin with normal vector n be the linear transformation such that L(7) is the projection of onto P. Let = 0 H -1 and B = {V, V2, }. 2 2 (a) Show that {, } is a basis of P. (b) Compute the RREF of the matrix V -1 0 1 1 0 0 0 -1 2 0 1 0 1 2 1 0 0 1 121 2. Let L: R R 1 H Do not show your work. 9 (c) Using part (a) or part (b), briefly explain why you can conclude that B is a basis of R. (d) With & equal to the standard basis of R, what are [id] and [id]? (e) Compute L(v), L(), and L(). (f) Compute [L] and [L].