題組內容

4. Let \( A\mathbf{x} = \mathbf{b} \) be a linear system whose augmented matrix \( (A|\mathbf{b}) \) has reduced row echelon form \( \left[ \begin{array}{ccccc|c} 1 & 2 & 0 & 3 & 1 & -2 \\ 0 & 0 & 1 & 2 & 4 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 \end{array} \right] \)

(a)(10%) Find all solutions to the system.