-1 1 5 Let A = 2 1 b = -4 -1 2 The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are 17 6.5 3 X = 5 a. -4 6.5 4 -93 130/35 35 b. b= -149/35 X= 37 167/35 35 342 409/101 101 6= -416/101 C. 67 476/101 101

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
-1 1
5
Let A = 2 1
b =
-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
X =
a.
6.5
-93
130/35
35
b.
b= -149/35
37
167/35
35
342
409/101
101
C.
6= -416/101
X =
67
476/101
101
-472
594/101
101
d.
6= -456/101
122
716/101
101
-96
250/33
11
6= - 152/33
X =
е.
-38
212/33
11
Transcribed Image Text:-1 1 5 Let A = 2 1 b = -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 X = a. 6.5 -93 130/35 35 b. b= -149/35 37 167/35 35 342 409/101 101 C. 6= -416/101 X = 67 476/101 101 -472 594/101 101 d. 6= -456/101 122 716/101 101 -96 250/33 11 6= - 152/33 X = е. -38 212/33 11
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