4: Let u (8, 1, 0). Find the orthogonal projection of u onto the subspace W spanned by the (non-orthogonal) vectors u₁ = (1,-1,0) and u₂ = (0,4,-1). (A) (-2) (B) (-2) (C) (-2) (M) (-2) (E) (-2) (F) (-2) (G)(-2) () (-2)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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#4: Let u = (8, 1, 0). Find the orthogonal projection of u onto the subspace W spanned by the (non-orthogonal)
vectors u₁ = (1,-1,0) and u₂ = (0, 4, -1).
(4) (-2) (B) (-2) (Ⓒ) (-2) (M) (-2) () (-2) (¹) (3,-2)
(G) (-2) (H) (5,-2)
Transcribed Image Text:#4: Let u = (8, 1, 0). Find the orthogonal projection of u onto the subspace W spanned by the (non-orthogonal) vectors u₁ = (1,-1,0) and u₂ = (0, 4, -1). (4) (-2) (B) (-2) (Ⓒ) (-2) (M) (-2) () (-2) (¹) (3,-2) (G) (-2) (H) (5,-2)
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