-1 1 Let A 24 1 2 10 b= -4 4 The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are [27]
-1 1 Let A 24 1 2 10 b= -4 4 The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are [27]
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 62CR
Related questions
Question
![-1 1
Let A = 24
-12
10
-4
4
The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are
27
4
b. 6= -4
27
4
a.
C.
e.
6.5
6= -4
6.5
1
7
6= -3.5
7
b =
X=
x=
250/33
6--152/33
212/33
17
3
35
6
7
24
x =
-96
11
-38
11
d.
X =
594/101
6= -456/101
716/101
-6
x=
-472
101
122
101](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f04f20c-87ff-4a3b-ac13-2abb5c11084a%2F564f9c5b-1dec-42ca-83bf-10d17a0fe032%2F4z8aukg_processed.png&w=3840&q=75)
Transcribed Image Text:-1 1
Let A = 24
-12
10
-4
4
The orthogonal projection of b onto Col A and the least-squares solution of Ax=b are
27
4
b. 6= -4
27
4
a.
C.
e.
6.5
6= -4
6.5
1
7
6= -3.5
7
b =
X=
x=
250/33
6--152/33
212/33
17
3
35
6
7
24
x =
-96
11
-38
11
d.
X =
594/101
6= -456/101
716/101
-6
x=
-472
101
122
101
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