Final answer:
To write the augmented matrix for the system of linear equations, arrange the coefficients of the variables and the constants in a matrix. The augmented matrix combines the matrix of coefficients with the column matrix of constants.
Step-by-step explanation:
To write the augmented matrix for the system of linear equations, we need to arrange the coefficients of the variables and the constants in a matrix. The augmented matrix is formed by combining the matrix of coefficients with the column matrix of constants.
The given system of equations is:
3x + y + 5z = 6
8x - 5y - z = 5
x - 4y - 3z = -7
The augmented matrix for this system is:
[3 1 5 | 6]
[8 -5 -1 | 5]
[1 -4 -3 | -7]