Answer
Has unique solution
Work Step by Step
As you can see from graph, vectors $a_{1}$ and $a_{2}$ are linearly independent. Since they are linearly independent, matrix $\left[\begin{array}{ll}a_{1} & a_{2}\end{array}\right]$ has both pivot columns.
This means that every vector in $\mathbb{R}^{2}$ can be written as a linear combination of $a_{1}, a_{2}$
In other words, $A x=b$ has unique solution for every $b$