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(b) Find a basis of H. (c) Use Gram-Schmidt to find an orthogonal basis of H (d) Find the orthogonal projection of u to W.

(b) Find a basis of H. (c) Use Gram-Schmidt to find an orthogonal basis of H (d) Find the orthogonal projection of u to W.

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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questions c and d please 

{( a + b+c+d b — с+ 2d H : a, b, c, d e R } C R°, a+ 2с — d and consider () u = 1 (а) Is u € H? (b) Find a basis of H. (c) Use Gram-Schmidt to find an orthogonal basis of H (d) Find the orthogonal projection of u to W.
Transcribed Image Text:{( a + b+c+d b — с+ 2d H : a, b, c, d e R } C R°, a+ 2с — d and consider () u = 1 (а) Is u € H? (b) Find a basis of H. (c) Use Gram-Schmidt to find an orthogonal basis of H (d) Find the orthogonal projection of u to W.
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