ANSWER QUESTION 10
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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ANSWER QUESTION 10
![In Exercises 9-16, a vector u in R" and an orthonormal basis
S for a subspace W of R" are given.
(a) Use the method in Example 3 to obtain the unique vectors
w in W and z in W such that u=w+z
(b) Find the orthogonal projection of u on W.
(c) Find the distance from u to W.
H
and S=
-{-}]}
9. u=
10. u=
3 and
- (0]}
S=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7ec820f-3fd9-4f41-9e22-9cfdcec8b7e9%2Fa40892ce-05c6-4334-87fe-2ba511a789a6%2Fdlrwe5p_processed.png&w=3840&q=75)
Transcribed Image Text:In Exercises 9-16, a vector u in R" and an orthonormal basis
S for a subspace W of R" are given.
(a) Use the method in Example 3 to obtain the unique vectors
w in W and z in W such that u=w+z
(b) Find the orthogonal projection of u on W.
(c) Find the distance from u to W.
H
and S=
-{-}]}
9. u=
10. u=
3 and
- (0]}
S=
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