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The determinant is 1. This is calculated using the formula for a 2x2 matrix where the columns are $\begin{pmatrix} 3 & 2 \\ 1 & 1 \end{pmatrix}$.

Conditions: The matrix has columns $(3,1)$ and $(2,1)$.; The determinant formula $ad-bc$ is applied correctly to the column entries.

The determinant is 1. This is calculated using the formula for a 2x2 matrix where the columns are $\begin{pmatrix} 3 & 2 \\ 1 & 1 \end{pmatrix}$.

Conditions: The matrix has columns $(3,1)$ and $(2,1)$.; The determinant formula $ad-bc$ is applied correctly to the column entries.