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. Q= =₁R=0 (Type exact answers, using radicals as needed.) A = ... 1 25 -1 -4 1 0 22 1 43 1 69 V₁ = 1 1 0 1 1 N² NON O 2 V3 0 2 3 5 0 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Q=
=₁R=0
(Type exact answers, using radicals as needed.)
A =
1
25
-1 -4 1
0
22
1
4 3
1 69
V₁ =
1
1
0
1
1
V2 =
-2
ON
0
2
کیا
0
3
Transcribed Image Text: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. Q= =₁R=0 (Type exact answers, using radicals as needed.) A = 1 25 -1 -4 1 0 22 1 4 3 1 69 V₁ = 1 1 0 1 1 V2 = -2 ON 0 2 کیا 0 3
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