Consider the system x1 + x2 – 3x3 + 4x4 x1 + x2 – 4x3 + 5x4 + 2 2x1 + 5x2 – 1læ3 + 9x4 – 5 = 0 = 0 = 0 -x1 – 4x2 + 10x3 5x4 +1 = 0 Using the GJ algorithm (or otherwise) find the solution (x1, x2, x3, x4). Write the value of æ2 Answer:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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Consider the system
x1 + x2 – 3x3 + 4x4
= 0
x1 + x2
4x3 + 5x4 + 2
= 0
2x1 + 5x2 – 1lx3 + 9x4 – 5
= 0
-x1 – 4x2 + 10x3 – 5x4 +1
= 0
Using the GJ algorithm (or otherwise) find the solution (x1, x2, x3, x4). Write the value of 2
Answer:
Transcribed Image Text:Consider the system x1 + x2 – 3x3 + 4x4 = 0 x1 + x2 4x3 + 5x4 + 2 = 0 2x1 + 5x2 – 1lx3 + 9x4 – 5 = 0 -x1 – 4x2 + 10x3 – 5x4 +1 = 0 Using the GJ algorithm (or otherwise) find the solution (x1, x2, x3, x4). Write the value of 2 Answer:
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