1 2 5 -2 - 1 -2 1 1 A= 4 4 V2 = V3 = 6 3 1 6 9 1 3. 3. 3. 2. 4. 2. 2.

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,, vɔ, V3. Use this orthogonal basis to find a QR factorization of matrix A.
Q=R=D
(Type exact answers, using radicals as needed.)
Transcribed Image Text:An orthogonal basis for the column space of matrix A is {v,, vɔ, V3. Use this orthogonal basis to find a QR factorization of matrix A. Q=R=D (Type exact answers, using radicals as needed.)
1.
2 5
-2
3.
1-2 1
-1
2
A=
4 4
V2 =
4
V3 =
6 3
-3
1
6 9
1
Transcribed Image Text:1. 2 5 -2 3. 1-2 1 -1 2 A= 4 4 V2 = 4 V3 = 6 3 -3 1 6 9 1
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