Consider the following system of linear equations.
X_{1}+x_{3}+x_{4} = 2
X_{1}+x_{2}+x_{3} = 6
X_{2}+x_{3}+x_{4} = 3
X_{1}+x_{2}+x_{4} = 0
(a) Write out the augmented matrix for this system of linear equations.
(b) Use elementary row operations to reduce the augmented matrix to reduced row- echelon form.
(c) Write out the solution to the system of linear equations.