Chapter 11.2, Problem 11AYU

In problems 7-18, write the augmented matrix of the given system of equations.

$\{\begin{array}{l}x-y+z=10\\ 3x+3y=5\\ x+y+2z=2\end{array}$

To determine

To find: The augmented matrix corresponding to the system of equations:

$x-y+z=10$

$3x+3y=5$

$x+y+2z=2$

Answer to Problem 11AYU

Solution:

$\left(\begin{array}{ccc}1& -1& 1\\ 3& 3& 0\\ 1& 1& 2\end{array}|\begin{array}{c}10\\ 5\\ 2\end{array}\right)$

Explanation of Solution

Given:

$x-y+z=10$

$3x+3y=5$

$x+y+2z=2$

Calculation:

The augmented matrix to the given system of equations is: $\left(\begin{array}{ccc}1& -1& 1\\ 3& 3& 0\\ 1& 1& 2\end{array}|\begin{array}{c}10\\ 5\\ 2\end{array}\right)$.