Question: Please explain PROBLEM 8 (a) Find an orthonormal basis for the subspace V of R defined by the equation 2x - y - z -

Please explain

PROBLEM 8 (a) Find an orthonormal basis for the subspace V of R defined by the equation 2x - y - z - W = 0. (b) Find the projection of the vector v = [0, 0, 0, 1] onto V. (c) Find the distance of v from V. (d) Find the projection of v onto the orthogonal complement VI. (e) Find the matrix for the orthogonal projection of V, in terms of the standard basis for 4. (f) Find the matrix for the projection onto V, in terms of the basis given in part (a)

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