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. 2. -1 -4 1 -1 A= 2 3 v2 = V3 1 6 4 1 2 1 49 1 (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 10AEXP
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An orthogonal basis for the column space of matrix A is (v,, v2, Va. Use this orthogonal basis to find a QR factorization of matrix A.
1
2 4
- 1
-4 1
A=
2 3
v, =
V2 =
2
6 4
1
4 9
(Type exact answers, using radicals as needed.)
Transcribed Image Text:An orthogonal basis for the column space of matrix A is (v,, v2, Va. Use this orthogonal basis to find a QR factorization of matrix A. 1 2 4 - 1 -4 1 A= 2 3 v, = V2 = 2 6 4 1 4 9 (Type exact answers, using radicals as needed.)
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