Answer
$[A|B]=\left[\begin{array}{rr|r}
{9}&{-1}&{0}\\
{3}&{-1}&{4}\end{array}\right]$
Work Step by Step
Augmented matrix $[A|B]$ of a system written in standard form:
- has as many rows as there are equations,
- has one more column than there are variables,
- has the constants of the RHS in the last column, $B=[b_{i}]$
- has the entries of the coefficient matrix $A=[a_{ij}]$ to the left of the last column.
---
Rewrite the system in standard form
$\left\{\begin{array}{l}
9x-y=0\\
3x-y=4
\end{array}\right.$
$ A=\left[\begin{array}{ll}
9 & -1\\
3 & -1
\end{array}\right],\quad B=\left[\begin{array}{l}
0\\
4
\end{array}\right]$
$[A|B]=\left[\begin{array}{rr|r}
{9}&{-1}&{0}\\
{3}&{-1}&{4}\end{array}\right]$
