An orthogonal basis for the column space of matrix A is (v1, V2, V3). Use this orthogonal basis to find a QR factorization of matrix A. 1 2 -1 -2 1 2 A = 43 v, = 4 V3 6 2 1 2 -3 1 6 8 3 (Type exact answers, using radicals as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 23EQ
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An orthogonal basis for the column space of matrix A is {v,, v2, v3. Use this orthogonal basis to find a QR factorization of matrix A.
1
2 5
1
- 2
3
- 1
-2 1
- 1
2
3
A =
4 3
V =
4
1
6 2
1
2
- 3
1
6 8
1
Q =
R=
(Type exact answers, using radicals as needed.)
Transcribed Image Text:An orthogonal basis for the column space of matrix A is {v,, v2, v3. Use this orthogonal basis to find a QR factorization of matrix A. 1 2 5 1 - 2 3 - 1 -2 1 - 1 2 3 A = 4 3 V = 4 1 6 2 1 2 - 3 1 6 8 1 Q = R= (Type exact answers, using radicals as needed.)
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