Question

What is a coefficient matrix for the system of linear equations? 6a+2b=22 -8b-3c=-19 -10a+9c=12

Answer 1

A is the correct answer for this question

Answer 2

The correct option is:
`\left[\begin{array}{ccc}6&2&0\\0&-8&-3\\-10&0&9\end{array}\right]`

Explanation:

The given system of linear equations is....

`6a+2b=22\\ -8b-3c=-19\\ -10a+9c=12`

There are total three variables:
`a,\ b\ and\ c`

Rewriting the above equations using all three variables, we will get......

`6a+2b+0c=22\\ \\ 0a-8b-3c=-19\\ \\ -10a+0b+9c=12`

Now, coefficient matrix is the matrix formed by the coefficients of the variables in a system.

So, the coefficient matrix will be:
`\left[\begin{array}{ccc}6&2&0\\0&-8&-3\\-10&0&9\end{array}\right]`