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Let P R R be the orthogonal projection onto the hyperplane W = {(x, y, z, t) | 2t - (x + 2) =

 

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)=

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