Let R have the Euclidean inner product, and let W be the subspace spanned by the vectors up = (-1,0,1,0), u2 = (0,-1,1,0), and u3 = (0,0,1,1). Use the Gram-Schmidt process to transform the basis {uy, u2, u3} into an orthonormal basis. (A) = (2,04,0), 2 = (D) = (D) (B) V1 = (2,0,0,0). 2 = (DDD) (D) V2 (6) 嘻嘻嘻) On = (2,000) 2 = V = ()() = (07) = (a) (E) V1 = OF V = (2,050) 2 (66) V2 (G) v = (0) 2 = (6) DV-50502 (6) 3 1=(√2.0.2.0). v₂ = (√ √ √6.0), v3=(√√√√ = E VB = =
Let R have the Euclidean inner product, and let W be the subspace spanned by the vectors up = (-1,0,1,0), u2 = (0,-1,1,0), and u3 = (0,0,1,1). Use the Gram-Schmidt process to transform the basis {uy, u2, u3} into an orthonormal basis. (A) = (2,04,0), 2 = (D) = (D) (B) V1 = (2,0,0,0). 2 = (DDD) (D) V2 (6) 嘻嘻嘻) On = (2,000) 2 = V = ()() = (07) = (a) (E) V1 = OF V = (2,050) 2 (66) V2 (G) v = (0) 2 = (6) DV-50502 (6) 3 1=(√2.0.2.0). v₂ = (√ √ √6.0), v3=(√√√√ = E VB = =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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