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-(8-6D) 3 13. Consider the subspace W = span in R¹. (a) Find a basis 8 = (₁, ₂) of the orthogonal subspace W+. (b) Find a basis y = (c) Find a basis 8 = (₁, ₁) of W such that ₁ and ₂ are orthogonal vectors of unit length. (₁, ₁) of W such that ₁ and ₂ are orthogonal vectors of unit length.

-(8-6D) 3 13. Consider the subspace W = span in R¹. (a) Find a basis 8 = (₁, ₂) of the orthogonal subspace W+. (b) Find a basis y = (c) Find a basis 8 = (₁, ₁) of W such that ₁ and ₂ are orthogonal vectors of unit length. (₁, ₁) of W such that ₁ and ₂ are orthogonal vectors of unit length.

Advanced Engineering Mathematics
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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13. Consider the subspace W = span 2 in R¹. (a) Find a basis 3 = (1, ₂) of the orthogonal subspace W+. (b) Find a basis y = (₁, ₁) of W such that ₁ and ₂ are orthogonal vectors of unit length. (c) Find a basis 6 = (₁, ₁) of W÷ such that ₁ and ₂ are orthogonal vectors of unit length.
Transcribed Image Text:13. Consider the subspace W = span 2 in R¹. (a) Find a basis 3 = (1, ₂) of the orthogonal subspace W+. (b) Find a basis y = (₁, ₁) of W such that ₁ and ₂ are orthogonal vectors of unit length. (c) Find a basis 6 = (₁, ₁) of W÷ such that ₁ and ₂ are orthogonal vectors of unit length.
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