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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=.R= (Type exact answers, using radicals as needed.) A = 1 34 -1 -3 1 022 1 1 53 58 V₁ = 1 -1 0 1 1 V₂ = -1 1 V3 = 2 3 3

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 34 -1 -3 1 022 1 1 53 58 V₁ = 1 -1 0 1 1 V₂ = -1 1 V3 = 2 3 3

Advanced Engineering Mathematics
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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Linear Algebra

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.
   A=
  1 3 4  
−1 −3 1
0 2 2
1 5 3
1 5 8
,   v1=
  1  
−1
0
1
1
,   v2=
  −1  
1
2
1
1
,   v3=
  2  
3
−1
−2
3
 
 
 

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Part 1
Q=enter your response here​,
R=enter your response here
​(Type exact​ answers, using radicals as​ needed.)
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 34 - 3 1 22 53 58 V₁ - 1 0 V₂ = - 1 1 2 1 2 3 - 1 - 2 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= R= (Type exact answers, using radicals as needed.) A = 1 - 1 0 1 1 34 - 3 1 22 53 58 V₁ - 1 0 V₂ = - 1 1 2 1 2 3 - 1 - 2 3
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