Question

Write an augmented matrix for the following system of equations.

9x - 5y + 9z = - 6
7x - y + 32 = 7
2y - 37 = - 4

Answer 1

To write an augmented matrix for the given system of equations, we can simply write the coefficients of the variables and the constants in matrix form. The augmented matrix will have one row for each equation, and one column for each variable and the constant.

So, for the system of equations:

9x - 5y + 9z = -6
7x - y + 32 = 7
2y - 37 = -4

The augmented matrix would be:

```
[ 9 -5 9 | -6 ]
[ 7 -1 0 | 39 ]
[ 0 2 -37 | -4 ]
```

Note that the vertical bar separates the coefficients of the variables from the constants in each row.