sensing and representation matrices from exhaustive data
The solution is probably not unique.

$$    \left[ { \begin{array}{cc} a &amp; b \\ c &amp; d \end{array} } \right] \left[{\begin{array}{c} 1 \\ 0 \end{array}} \right] =    \left[{\begin{array}{c} 1 \\ 1 \end{array}} \right] $$

$b$ and $d$ can be any value provided $a = c = 1$