# Exercise Set 1.1 – No. 7

Find the augmented matrix for the linear system:

$\large&space;{\color{blue}&space;(a)&space;\begin{matrix}&space;-2x_1&space;&&space;=&space;&&space;6&space;\\&space;3x_1&space;&&space;=&space;&&space;8&space;\\&space;9x_1&space;&&space;=&space;&&space;-3&space;\end{matrix}&space;}$

$\large&space;{\color{Blue}&space;\begin{bmatrix}&space;-2&space;&&space;6\\&space;3&space;&&space;8&space;\\&space;9&space;&&space;-3&space;\end{bmatrix}&space;}$

$\large&space;{\color{blue}&space;(b)\;&space;\begin{matrix}&space;6x_1&space;&&space;-&space;&&space;x_2&space;&&space;+&space;&&space;3x_3&space;&&space;=&space;&&space;4&space;\\&space;&&space;&&space;5x_2&space;&&space;-&space;&&space;x_3&space;&&space;=&space;&&space;1&space;\end{matrix}&space;}$

$\large&space;{\color{Blue}&space;\begin{bmatrix}&space;6&space;&&space;-1&space;&&space;3&space;&&space;4\\&space;0&space;&&space;5&space;&&space;-1&space;&&space;1&space;\end{bmatrix}&space;}$

$\large&space;{\color&space;{Blue}&space;(c)&space;\begin{matrix}&space;&&space;2x_2&space;&&space;&&space;-3x_4&space;&&space;+x_5&space;&=0&space;\\&space;-3x_1&space;&&space;-x_2&space;&&space;+x_3&space;&&space;&&space;&=&space;-1&space;\\&space;6x_1&space;&&space;+2x_2&space;&&space;-x_3&space;&&space;+2x_4&space;&&space;-3x_5&space;&=&space;6&space;\end{matrix}&space;}$

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