Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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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