An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to 25 find a QR factorization of matrix A. -1 - 4 1 A = 3 3 v, = V2 = 3 V3 1 4 3 1 1 6 9 1 2 Q=R= (Type exact answers, using radicals as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to
25
find a QR factorization of matrix A.
-1 - 4 1
A =
3 3
v, =
V2 =
3
V3
1
4 3
1
1
6 9
1
2
Q=R=
(Type exact answers, using radicals as needed.)
Transcribed Image Text:An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to 25 find a QR factorization of matrix A. -1 - 4 1 A = 3 3 v, = V2 = 3 V3 1 4 3 1 1 6 9 1 2 Q=R= (Type exact answers, using radicals as needed.)
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