1. Let 1 -0-0-0-0 = = = (a) (5 points) Find a orthonormal set {q1, 92, 93, 94} such that span{a₁, ..., a¿} for i = 1,2,3,4. Give exact answer and show your workings clearly. (b) (5 points) Let A = = span{1,..., q} QR = (a₁ a2 a3 a4) and Q = (91 92 93 94). Write A for some upper triangular matrix R. Give exact answer and explain how you derive your answer. (c) (2 points) Find the projection of workings clearly. 3 onto V = span{q1, 92, 93, 94}. Show your

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Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

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