# Exercise Set 1.1 – No. 8

8. Find the augmented matrix for the linear system:

$\large&space;{\color{blue}&space;(a)\;&space;\begin{matrix}&space;3x_1&-2x_2&space;&&space;=-1&space;\\&space;4x_1&+5x_2&space;&&space;=3&space;\\&space;7x_1&+3x_2&space;&&space;=2&space;\end{matrix}&space;}$

$\large&space;{\color{Blue}&space;\begin{bmatrix}&space;3&space;&&space;-2&space;&&space;-1\\&space;4&space;&&space;5&space;&&space;3\\&space;7&space;&&space;3&space;&&space;2&space;\end{bmatrix}&space;}$

$\large&space;{\color{blue}&space;(b)\;&space;\begin{matrix}&space;3x_1&&space;&&space;+2x_3&space;&&space;=1&space;\\&space;3x_1&-x_2&space;&+4x_3&&space;=7&space;\\&space;6x_1&+x_2&space;&-x_3&&space;=0&space;\end{matrix}&space;}$

$\large&space;{\color{Blue}&space;\begin{bmatrix}&space;2&space;&&space;0&space;&&space;2&space;&&space;1\\&space;3&space;&&space;-1&space;&&space;4&space;&&space;7\\&space;6&space;&&space;1&space;&&space;-1&space;&&space;0&space;\end{bmatrix}&space;}$

$\large&space;{\color{blue}&space;(c)\;&space;\begin{matrix}&space;x_1&&space;&&space;&&space;=1&space;\\&space;&x_2&space;&&&space;=2&space;\\&space;&&space;&x_3&&space;=3&space;\end{matrix}&space;}$

$\large&space;{\color{Blue}&space;\begin{bmatrix}&space;1&space;&&space;0&space;&&space;0&space;&&space;1\\&space;0&space;&&space;1&space;&&space;0&space;&&space;2\\&space;0&space;&&space;0&space;&&space;1&space;&&space;3&space;\end{bmatrix}&space;}$