Final answer:
To write an augmented matrix, write the coefficients of variables on the left side and the constant terms on the right side. The dimensions of the matrix are 3 rows and 4 columns.
Step-by-step explanation:
To write an augmented matrix for the given system of linear equations, we write the coefficients of variables on the left side and write the constant terms on the right side. The given system is:
1x + 8y - 7z = 12
5x + 9y + 5z = 15
-8x - 3y + 6z = 15
The augmented matrix for this system is:
| 1 8 -7 | 12 |
| 5 9 5 | 15 |
-8 -3 6 | 15 |
The dimensions of this matrix are 3 rows and 4 columns.