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

 

Transcribed Image Text:

Let P R R be the orthogonal projection onto the hyperplane W = {(x, y, z, t) | 2t - (x + 2) = 0} (That is, the projection parallel to the normal vector (-1, 0, -1, 2).) Find the matrix M(P) of the projection P relative to the standard basis of IR4. M(P)= Let P R R be the orthogonal projection onto the hyperplane W = {(x, y, z, t) | 2t - (x + 2) = 0} (That is, the projection parallel to the normal vector (-1, 0, -1, 2).) Find the matrix M(P) of the projection P relative to the standard basis of IR4. M(P)=