Chapter 2.3, Problem 1P

Explanation of Solution

Using Gauss-Jordan method to indicate the solutions:

Consider the given system of linear equations,

$\begin{array}{l}{x}_1+x_2+x_4=3\\ x_2+x_3=4\\ x_1+2x_2+x_3+x_4=8\end{array}$

The augmented matrix of this system is as follows:

$A|b=\left[\begin{array}{l}1101\\ 0110\\ 1211\end{array}\right]\left[\begin{array}{l}3\\ 4\\ 8\end{array}\right]$

The Gauss-Jordan method is applied to find the solutions of the above system of linear equations