1 2 4 1 -2 2 -1 -2 1 -1 2 3 A = [0 4 2 ],v, 42],v₁ =[0],v₂ = [ 4 ],v₂ = [ -1 1 64 1 167 1 2 -1 2 2 orthogonal basis for the column space of matrix A is {v1, v2, v3}. Use this orthogonal basis to find a QR factorization of matrix Upper A. ง -2 HH 1 24 -1-21 A= 0 42 V2= 1 64 1 67 V3-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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1 2 4
1
-2
2
-1 -2 1
-1
2
3
A = [0 4 2 ],v,
42],v₁ =[0],v₂ = [ 4 ],v₂ = [ -1
1 64
1
167
1
2
-1
2
2
orthogonal basis for the column space of
matrix A is {v1, v2, v3}. Use this orthogonal
basis to find a QR factorization of matrix
Upper A.
ง
-2
HH
1
24
-1-21
A=
0
42
V2=
1
64
1
67
V3-1
Transcribed Image Text:1 2 4 1 -2 2 -1 -2 1 -1 2 3 A = [0 4 2 ],v, 42],v₁ =[0],v₂ = [ 4 ],v₂ = [ -1 1 64 1 167 1 2 -1 2 2 orthogonal basis for the column space of matrix A is {v1, v2, v3}. Use this orthogonal basis to find a QR factorization of matrix Upper A. ง -2 HH 1 24 -1-21 A= 0 42 V2= 1 64 1 67 V3-1
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