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=.R= (Type exact answers, using radicals as needed.) A= 1 -1 0 1 1 25 -2 1 23 42 48 V₁ = I 1 0 1 V₂ = 1 2 1 V3 = 3 3 0 -3 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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
23
1
42
1
48
V₁ =
- 1
C
V₂ =
2
1
V3 =
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 23 1 42 1 48 V₁ = - 1 C V₂ = 2 1 V3 = 3 3 0 - 3 3
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