Let P: R4 R4 be the orthogonal projection onto the hyperplane W = {(x, y, z,...

Transcribed Image Text:

Let P: R4 R4 be the orthogonal projection onto the hyperplane W = {(x, y, z, t) | x y + 2t = 0} (That is, the projection parallel to the normal vector (1, -1, 0,2).) Find the matrix ME(P) of the projection P relative to the standard basis of R4. - M(P) = Let P: R4 R4 be the orthogonal projection onto the hyperplane W = {(x, y, z, t) | x y + 2t = 0} (That is, the projection parallel to the normal vector (1, -1, 0,2).) Find the matrix ME(P) of the projection P relative to the standard basis of R4. - M(P) =