Answered: In Problem write the augmented matrix…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section6.1: Matrices And Systems Of Linear Equations

Problem 2E: Write the augmented matrix of the following system of equations. System {x+yz=1x+2z=32yz=3 Augmented...

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In Problem write the augmented matrix associated with each system of linear equations.

Expert Solution

Step 1

The given system of linear equations is:

$\begin{array}{rcl} x + 2 y + 2 z & = & 3 \\ x - 2 y & = & 4 \\ y - z & = & 1 \end{array}$

The augmented matrix contains both, the coefficients of each equation on the left hand side of the '=' and the constants of each equation on the right-hand side of the '='.

Write the coefficients of the x-terms as the numbers down the first column.
Write the coefficients of the y-terms as the numbers down the second column.
Write the coefficients of the z-terms as the numbers down the third column.
Write the constants of each of the equations in the fourth column.

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