Find a QR factorization of matrix A = -1 0 20 2 4 -4 3 6 -6 -4 0 0 6 -8 0 15

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
. Find a QR factorization of matrix
●
●
.
A =
-1
●
ONO O
.
0
by completing the following steps
2
2
4
-4
-4
0
0
0
Cancel
3
Use the Gram-Schmidt orthogonalization algorithm to find an orthogonal basis
for the column space of A
Normalize vectors obtained in the previous part.
6
-6
0
0
6
-8
0
Form a matrix Q using vectors obtained in the previous part
Express the corresponding matrix R in terms of A and Q
Find entries of R.
15
Transcribed Image Text:. Find a QR factorization of matrix ● ● . A = -1 ● ONO O . 0 by completing the following steps 2 2 4 -4 -4 0 0 0 Cancel 3 Use the Gram-Schmidt orthogonalization algorithm to find an orthogonal basis for the column space of A Normalize vectors obtained in the previous part. 6 -6 0 0 6 -8 0 Form a matrix Q using vectors obtained in the previous part Express the corresponding matrix R in terms of A and Q Find entries of R. 15
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