a) S = {[3] A]}, b) S = 2 0 1 " 2 1 0 v 2 2 = 0 1 0 c) S = 0 0 3 บี - 1 1 0 0 2 1 0 1 1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.5: Percents
Problem 15WE
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Question

For each set of vectors S, implement the Gram-Schmidt orthogonalization
process (with the standard dot product for vectors) by hand to construct
an orthogonal set. You do not have to normalize your vectors (though
it certainly doesn’t hurt to do so)! Then express the given vector v as a
linear combination of the vectors in the orthogonal set you find. You must
use the inner product to find these coefficients!

a) S
=
{[3] A]},
b) S =
2
0
1
"
2
1
0
v
2
2
=
0
1
0
c) S =
0
0
3
บี -
1
1
0
0
2
1
0
1
1
Transcribed Image Text:a) S = {[3] A]}, b) S = 2 0 1 " 2 1 0 v 2 2 = 0 1 0 c) S = 0 0 3 บี - 1 1 0 0 2 1 0 1 1
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