### Solving a System of Equations Using an Augmented MatrixA system of equations was written as an augmented matrix, which was row-reduced to the form:\[\begin{bmatrix}1 & 0 & 0 & -4 \\0 & 1 & 0 & 3 \\0 & 0 & 1 & 2 \\\end{bmatrix}\]What is the solution to the original system of equations?- $x = $- $y = $- $z = $#### Explanation:The matrix is in row-reduced echelon form, indicating that the system of equations is:1. $x = -4$2. $y = 3$3. $z = 2$Thus, the solution to the system is:- $x = -4$- $y = 3$- $z = 2$

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Answered: A system of equations was written as an…

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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A system of equations was written as an augmented matrix, which was row reduced to 100-4 010 3 0 0 1 2 What is the solution to the original system of equations? X = y = 2 =