10 2. Let vi V2 -10 3 , and va , let B = (V1, v2, V3), and let W be the subspace spanned -5 by B. Note that B is an orthogonal set. 201 Find the coordinates of ū = - 16 with respect to B, without inverting any matrices or a. -10 -12 solving any systems of linear equations. -15 b. Find the orthogonal projection of into W, without inverting any matrices or -30 solving any systems of linear equations. Find an orthonormal basis for W.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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10
2. Let vi
and v3
-8
, let B = (V1, v2, V3), and let W be the subspace spanned
-10
-5
by B. Note that B is an orthogonal set.
20
-16
Find the coordinates of ū
with respect to B, without inverting any matrices or
a.
- 10
12.
solving any systems of linear equations.
151
-15
b.
Find the orthogonal projection of
into W, without inverting any matrices or
-30
-5]
solving any systems of linear equations.
Find an orthonormal basis for W.
С.
Transcribed Image Text:10 2. Let vi and v3 -8 , let B = (V1, v2, V3), and let W be the subspace spanned -10 -5 by B. Note that B is an orthogonal set. 20 -16 Find the coordinates of ū with respect to B, without inverting any matrices or a. - 10 12. solving any systems of linear equations. 151 -15 b. Find the orthogonal projection of into W, without inverting any matrices or -30 -5] solving any systems of linear equations. Find an orthonormal basis for W. С.
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