Find the least squares solution of the inconsistent linear system x₁ + x₂ + x3 = 3, X3 = 1, + x3 = 2, + 5x3 = 8, = 0, X3 = 1. X1 2x1 - 7x₁ + 8x₂ x₁ + 2x₂ -
Find the least squares solution of the inconsistent linear system x₁ + x₂ + x3 = 3, X3 = 1, + x3 = 2, + 5x3 = 8, = 0, X3 = 1. X1 2x1 - 7x₁ + 8x₂ x₁ + 2x₂ -
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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![Find the least squares solution of the inconsistent linear system:
\[
\begin{align*}
x_1 + x_2 + x_3 &= 3, \\
x_3 &= 1, \\
x_1 + x_3 &= 2, \\
2x_1 + 5x_3 &= 8, \\
-7x_1 + 8x_2 &= 0, \\
x_1 + 2x_2 - x_3 &= 1.
\end{align*}
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Transcribed Image Text:Find the least squares solution of the inconsistent linear system:
\[
\begin{align*}
x_1 + x_2 + x_3 &= 3, \\
x_3 &= 1, \\
x_1 + x_3 &= 2, \\
2x_1 + 5x_3 &= 8, \\
-7x_1 + 8x_2 &= 0, \\
x_1 + 2x_2 - x_3 &= 1.
\end{align*}
\]
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