Let S be a subspace of R' defined by 1 S = span 1 ER'. and u = 2 (a) By using the Gram-Schmidt orthonormalization process, find an orthonormal basis for S (S perp). (b) Write u = v +w such that v € S and w e S+. (c) Find the coordinate matrix of w with respect to the orthonormal basis obtained in part a).

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