(Solved): 2. Suppose that the rref of an augmented matrix of a linear system results as (a) What are the lea ...

2. Suppose that the rref of an augmented matrix of a linear system results as (a) What are the leading variables? (b) What are the free variables? (c) What is the corresponding system of equations in terms of the free variables. (d) Write the solutions in vector form. That is complete: \[ \left[\begin{array}{l} x_{1} \\ x_{2} \\ x_{3} \\ x_{4} \end{array}\right]=\left[\begin{array}{l} x_{3} \\ x_{4} \end{array}\right]=x_{3}[]+x_{4}\left[\begin{array}{c} -1 \\ -2 \\ 0 \\ 1 \end{array}\right]+\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right] \]