3. Let A 1 0 1 0 2 0 0 0 2 0 0 2 0 0-2 2 1 and b = 11 2 3 14 (a) Factor A into a product QR, where Q is an orthogonal matrix and R is upper triangular. (b) Solve linear system Ax = b for the least squares solution using Q and R.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Let
A =
1
0
1
0
2
0
0
0
0 0
2
2
0
0
-2 2
, and b=
11
2
3
14
(a) Factor A into a product QR, where is an orthogonal matrix and R is upper triangular.
(b) Solve linear system Ax = b for the least squares solution using Q and R.
Transcribed Image Text:3. Let A = 1 0 1 0 2 0 0 0 0 0 2 2 0 0 -2 2 , and b= 11 2 3 14 (a) Factor A into a product QR, where is an orthogonal matrix and R is upper triangular. (b) Solve linear system Ax = b for the least squares solution using Q and R.
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