1 Consider the matrix A = 7 -3 -5 1 (a) By using Gram-Schmidt process, find an orthogonal basis for Col(A). (b) Find a QR-factorization of A. All computation must be shown (computation of the columns of Q, computation of the matrix R, the check of A = QR).

1 Consider the matrix A = 7 -3 -5 1 (a) By using Gram-Schmidt process, find an orthogonal basis for Col(A). (b) Find a QR-factorization of A. All computation must be shown (computation of the columns of Q, computation of the matrix R, the check of A = QR).

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

9.
1
2. Consider the matrix A =
7
-3
-5
1
(a) By using Gram-Schmidt process, find an orthogonal basis for Col(A).
(b) Find a QR-factorization of A. All computation must be shown (computation of the columns of Q,
computation of the matrix R, the check of A = QR).

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