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).

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Chapter2: Second-order Linear Odes
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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).
Transcribed Image Text: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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