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.) C A= 1 24 -1 -2 1 0 22 44 1 1 4 7 V₁ = 0 1 2 1 V3 = -1 2

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.
R=
(Type exact answers, using radicals as needed.)
=
A =
1
-1
0
1
1
24
-2 1
22
44
4 7
V₁ =
- 1
1
V₂ =
-1
1
2
1
1
2
3
- 1
-1
2
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. R= (Type exact answers, using radicals as needed.) = A = 1 -1 0 1 1 24 -2 1 22 44 4 7 V₁ = - 1 1 V₂ = -1 1 2 1 1 2 3 - 1 -1 2
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