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4. Consider the subspace V of R' given by 1 3 V = span (a) Find an orthonormal basis for the orthogonal complement V-.

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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Question

4.
Consider the subspace V of R' given by
1
3
V = span
(a) Find an orthonormal basis for the orthogonal complement V-.
(b) Find the closest point to (1, 1, 1, 1) in V+.

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