Linear system/Parameter/1/Exercise

Determine, in dependence of the parameter ${}a\in \mathbb {R}$, the solution space ${}L_{a}\subseteq \mathbb {R} ^{3}$ of the system of linear equations

${}5x+ay+(1-a)z=0\,,$

${}2ax+a^{2}y+3z=0\,.$

Create a solution