Step 1 :Write the coefficient matrix and the augmented matrix of the given system of linear equations.
Step 2 :The coefficient matrix is formed by the coefficients of the variables in the system of equations. In this case, the coefficient matrix is \(\begin{bmatrix} 5 & 2 \ 6 & -6 \end{bmatrix}\).
Step 3 :The augmented matrix is formed by extending the coefficient matrix to include the constants on the right side of the equations. In this case, the augmented matrix is \(\begin{bmatrix} 5 & 2 & 9 \ 6 & -6 & 4 \end{bmatrix}\).
Step 4 :Final Answer: The coefficient matrix is \(\boxed{\begin{bmatrix} 5 & 2 \ 6 & -6 \end{bmatrix}}\) and the augmented matrix is \(\boxed{\begin{bmatrix} 5 & 2 & 9 \ 6 & -6 & 4 \end{bmatrix}}\).