Question

Write the augmented matrix for each system of equations. 9x-4y-5z=9 7x+4y-4z=-1

Answer 1

The augmented matrix is:

`\begin{bmatrix}9 & -4 & -5 & |9\\ 7 & 4 & -4 & |-1\end{bmatrix}`

Explanation:

Augmented matrix:

It is a matrix form of a linear system of equations obtained from the coefficient matrix. It is created by adding an additional column of for the constants on the right hand side of the equal sign.

Here we are given a system of linear equations as:

`9x-4y-5z=9`

and
`7x+4y-4z=-1`

Hence, the augmented matrix formed is as follows:

`\begin{bmatrix}9 & -4 & -5 & |9\\ 7 & 4 & -4 & |-1\end{bmatrix}`

Answer 2

`\left[\begin{array}ccc9&-4&-5&9\\7&4&-4&-1\end{array}\right]`