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You are given the matrix A 0 -7 13 |-30 6 4 20 -3 and apply to A the first step of the QR-factorization algorithm A→ HjA: The first column of H;A conforms to upper triangular structure. The matrix H1, as any Householder matrix, has the form H;=l-2ww, for some vector w. The value of |w(1)| is approximately equal to

You are given the matrix A 0 -7 13 |-30 6 4 20 -3 and apply to A the first step of the QR-factorization algorithm A→ HjA: The first column of H;A conforms to upper triangular structure. The matrix H1, as any Householder matrix, has the form H;=l-2ww, for some vector w. The value of |w(1)| is approximately equal to

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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Question 3 You are given the matrix A 0 -7 13 |-30 6 4 20 -3 and apply to A the fırst step of the QR-factorization algorithm A H,A: The first column of H,A conforms to upper triangular structure. The matrix H1, as any Householder matrix, has the form Hz=l-2ww, for some vector w. The value of |w(1)| is approximately equal to .5 1.4 None of the answers here is correct 3 2.5 0.7
Transcribed Image Text:Question 3 You are given the matrix A 0 -7 13 |-30 6 4 20 -3 and apply to A the fırst step of the QR-factorization algorithm A H,A: The first column of H,A conforms to upper triangular structure. The matrix H1, as any Householder matrix, has the form Hz=l-2ww, for some vector w. The value of |w(1)| is approximately equal to .5 1.4 None of the answers here is correct 3 2.5 0.7
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