Let W = {(a, 2b, b-a): a, b ER} be subspace of R³. o Find an orthonormal basis for W. • Find the distance from the point (5, 1, -2) of R³ to W.
Let W = {(a, 2b, b-a): a, b ER} be subspace of R³. o Find an orthonormal basis for W. • Find the distance from the point (5, 1, -2) of R³ to W.
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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Transcribed Image Text:Let \( W = \{ (a, 2b, b-a) : a, b \in \mathbb{R} \} \) be a subspace of \( \mathbb{R}^3 \).
- Find an orthonormal basis for \( W \).
- Find the distance from the point \( (5, 1, -2) \) of \( \mathbb{R}^3 \) to \( W \).
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