Answer:
The correct option is: [tex]\left[\begin{array}{ccc}6&2&0\\0&-8&-3\\-10&0&9\end{array}\right][/tex]
Step-by-step explanation:
The given system of linear equations is....
[tex]6a+2b=22\\ -8b-3c=-19\\ -10a+9c=12[/tex]
There are total three variables: [tex]a,\ b\ and\ c[/tex]
Rewriting the above equations using all three variables, we will get......
[tex]6a+2b+0c=22\\ \\ 0a-8b-3c=-19\\ \\ -10a+0b+9c=12[/tex]
Now, coefficient matrix is the matrix formed by the coefficients of the variables in a system.
So, the coefficient matrix will be: [tex]\left[\begin{array}{ccc}6&2&0\\0&-8&-3\\-10&0&9\end{array}\right][/tex]
