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Let Describe all solutions of Ax = 0. x = x₂ +x3 2 −1 −7] A = [ 12 -187 53] Α -9 9 63 +x4 H

Let Describe all solutions of Ax = 0. x = x₂ +x3 2 −1 −7] A = [ 12 -187 53] Α -9 9 63 +x4 H

Advanced Engineering Mathematics
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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Let \[ A = \begin{bmatrix} 1 & 2 & -1 & -7 \\ -9 & -18 & 9 & 63 \end{bmatrix} \] Describe all solutions of \( A\vec{x} = \vec{0} \). \[ \vec{x} = x_2 \begin{bmatrix} \boxed{} \\ \boxed{} \\ \boxed{} \\ \boxed{} \end{bmatrix} + x_3 \begin{bmatrix} \boxed{} \\ \boxed{} \\ \boxed{} \\ \boxed{} \end{bmatrix} + x_4 \begin{bmatrix} \boxed{} \\ \boxed{} \\ \boxed{} \\ \boxed{} \end{bmatrix} \] [Check Answer]
Transcribed Image Text:Let \[ A = \begin{bmatrix} 1 & 2 & -1 & -7 \\ -9 & -18 & 9 & 63 \end{bmatrix} \] Describe all solutions of \( A\vec{x} = \vec{0} \). \[ \vec{x} = x_2 \begin{bmatrix} \boxed{} \\ \boxed{} \\ \boxed{} \\ \boxed{} \end{bmatrix} + x_3 \begin{bmatrix} \boxed{} \\ \boxed{} \\ \boxed{} \\ \boxed{} \end{bmatrix} + x_4 \begin{bmatrix} \boxed{} \\ \boxed{} \\ \boxed{} \\ \boxed{} \end{bmatrix} \] [Check Answer]
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Step 1: Introduction of the given problem

A equals open square brackets table row 1 2 cell negative 1 end cell cell negative 7 end cell row cell negative 9 end cell cell negative 18 end cell 9 63 end table close square brackets

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