An orthogonal basis for the column space of matrix A is {V₁, 1, V2, V3}. Use this orthogonal basis to find a QR factorization of matrix A. Q=.R= (Type exact answers, using radicals as needed.) A = 1 -1 25 -2 1 0 44 1 63 1 69 S 1 - 1 O 1 V₂ -2 2 4 2 2 S 330 - 3 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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=₁ R=
(Type exact answers, using radicals as needed.)
A =
1 25
- 1 - 2 1
0
44
1
63
1
69
V1
1
- 1
1
V2
- 2
2
2
2
3
3
0
- 3
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=₁ R= (Type exact answers, using radicals as needed.) A = 1 25 - 1 - 2 1 0 44 1 63 1 69 V1 1 - 1 1 V2 - 2 2 2 2 3 3 0 - 3 3
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