Exercise 3.3.33

If the complete solution to $\mathit{Ax}=\left[\begin{array}{c}1\hfill \\ 3\hfill \end{array}\right]$ is $x=\left[\begin{array}{c}1\hfill \\ 0\hfill \end{array}\right]+\left[\begin{array}{c}0\hfill \\ c\hfill \end{array}\right]$ then $A=\left[\begin{array}{cc}1\hfill & 0\hfill \\ 3\hfill & 0\hfill \end{array}\right]$.