Q^2/Non-trivial representation of 0/1/Exercise

Find, for the vectors

${\begin{pmatrix}4\\5\end{pmatrix}},\,{\begin{pmatrix}1\\-4\end{pmatrix}},\,{\begin{pmatrix}8\\7\end{pmatrix}}$

in ${}\mathbb {Q} ^{2}$, a non-trivial representation of the zero vector.

Create a solution