Answer:
[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]
Step-by-step explanation:
In an augmented matrix, each row represents one equation in the system and each column represents coefficients (including signs) of variables or the constant terms.
So, the first row is
[tex]1\ -1\ -4\ 5[/tex]
the second row is
[tex]2\ 0\ 2\ 0[/tex]
and the third row is
[tex]4\ 1\ 1\ 3[/tex]
Hence, an augmented matrix for this linear system is
[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]
