Given, And the QR factorisation, r₁ = x² + Cy} + F, 1 1 = - 1 √2 1 √2 0 j = 1,2, ...., n. 1 √√2 √2 -√2 ¦ 1 0 0 0 √2 Use the QR factorisation to find the vector x = (C, F) that minimises ||r|| for the data points (2,0), (2,1), (0,1). |

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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E 2 

 

Given,
And the QR factorisation,
r₁ = x² + Cy} + F₁ j = 1,2,
OLL
ГО
1
[1
1 =
0
1
√2
1 0
0
1
√2
***., n.
-√2 -√21
0
03
√2
Use the QR factorisation to find the vector x = (C, F) that minimises ||r|| for the data
points (2,0), (2,1), (0,1). |
Transcribed Image Text:Given, And the QR factorisation, r₁ = x² + Cy} + F₁ j = 1,2, OLL ГО 1 [1 1 = 0 1 √2 1 0 0 1 √2 ***., n. -√2 -√21 0 03 √2 Use the QR factorisation to find the vector x = (C, F) that minimises ||r|| for the data points (2,0), (2,1), (0,1). |
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