Question: -5 Use Theorem 5.5.2 to write the vector v = 9 3 as linear combination of 1/V18 -4/V17 -1/V306 -1/v18 JU = 0/V 17 and

17 and u; = -17/V306 -4/V18 -1/V17 4/ V306 Note that uj,

uz and us are orthonormal. V Use Parseval's formula to compute |

|v| |2-Find the orthogonal projection of 16 12 V = 18 14

-5 Use Theorem 5.5.2 to write the vector v = 9 3 as linear combination of 1/V18 -4/V17 -1/V306 -1/v18 JU = 0/V 17 and u; = -17/V306 -4/V18 -1/V17 4/ V306 Note that uj, uz and us are orthonormal. V Use Parseval's formula to compute | |v| |2-Find the orthogonal projection of 16 12 V = 18 14 onto the subspace V of R' spanned by -3 A 4 -5 and X = 2 4 -4 0 projv ( V) =-5 3 -1 -4 Let y = 2 4 3 -2 Compute the distance d from y to the subspace of R* spanned by v, and v2. d=

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