-1 1 10 Let A = 0 4 b: -1 2 4 The orthogonal projection of b onto Col A and the least-squares solution of Ax=b

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
1 1
10
Let A = 0 4
b
-4
-1 2
4
The orthogonal projection of b onto Col A and the least-squares solution of Ax=b
are
17
6.5
3
6= -4
a.
5
6.5
4
27
4
b.
6= -4
27
35
7
6
6= -3.5
X =
7
C.
7
24
-472
594/101
101
d.
= -456/101
122
716/101
101
-96
250/33
11
е.
b= - 152/33
-38
212/33
11
Transcribed Image Text:1 1 10 Let A = 0 4 b -4 -1 2 4 The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are 17 6.5 3 6= -4 a. 5 6.5 4 27 4 b. 6= -4 27 35 7 6 6= -3.5 X = 7 C. 7 24 -472 594/101 101 d. = -456/101 122 716/101 101 -96 250/33 11 е. b= - 152/33 -38 212/33 11
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