Question: (5) (4 marks.) Consider the vector space Rd endowed with the inner product (011, 112, (VI, U'2,va, VA)) = + 3u2V2 + + 2

(5) (4 marks.) Consider the vector space Rd endowed with the inner

(5) (4 marks.) Consider the vector space Rd endowed with the inner product (011, 112, (VI, U'2,va, VA)) = + 3u2V2 + + 2 = (O, 1, 2, 3)} be a subspace of R'. Let U = span {111 = 1, O, 1), u (a) Use Gram-Schmidt procedure to construct an orthonormal basis for U. (b) Find the orthogonal projection of v = (1, 2, 5, 1) on U and U L.

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