System of Equations and determinants

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Consider the system $2x+ay=s$ and $3ax+6y=t$. For which values of a will the system have a unique solution using determinants?

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Remember that any system of equations $\,A\vec x=\vec b$ over a field has a unique solution if and only if $det(A)\neq0$

In your case, what will $A$ be?