1. Let S be the matrix (1.1 2.1 3.1 4.1 S = 2.1 4.1 6.1 8.1 3.1 6.1 9.1 12.1 (a) Determine a SVD of S (you may use code), write the orthogonal matrices and the matrix of singular values. (b) Find the best rank-one approximation of S.

1. Let S be the matrix (1.1 2.1 3.1 4.1 S = 2.1 4.1 6.1 8.1 3.1 6.1 9.1 12.1 (a) Determine a SVD of S (you may use code), write the orthogonal matrices and the matrix of singular values. (b) Find the best rank-one approximation of S.

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

1. Let S be the matrix
(1.1 2.1 3.1
4.1
S =
2.1 4.1 6.1
8.1
3.1 6.1 9.1 12.1
(a) Determine a SVD of S (you may use code), write the orthogonal matrices and the
matrix of singular values.
(b) Find the best rank-one approximation of S.

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