-1 2 Let A = 2 1 5. b = -4 1 2 4 The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are -93 130/35 35 b= -149/35 a. 37 167/35 35 -109 313/50 6= -58/50 50 51 19/10 25 342 409/101 6= -416/101 101 C. 67 476/101 101 -472 101 594/101 d. 6= -456/101 122 716/101 101 -96- 250/33 11 6= -152/33 e. -38 212/33 11 IX IX 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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-1 2
Let A = 2 1
b = -4
1 2
4
The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are
-93
130/35
b= -149/35
35
a.
37
167/35
35
-109
313/50
6= -58/50
50
%3D
51
19/10
25
342
409/101
6= -416/101
101
C.
67
476/101
101
594/101
-472
101
d.
6= -456/101
122
716/101
101
-96
250/33
11
6= -152/33
e.
-38
212/33
11
IX
IX
b.
Transcribed Image Text:-1 2 Let A = 2 1 b = -4 1 2 4 The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are -93 130/35 b= -149/35 35 a. 37 167/35 35 -109 313/50 6= -58/50 50 %3D 51 19/10 25 342 409/101 6= -416/101 101 C. 67 476/101 101 594/101 -472 101 d. 6= -456/101 122 716/101 101 -96 250/33 11 6= -152/33 e. -38 212/33 11 IX IX b.
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