Find the determinant.\begin{vmatrix} 3 & -3 & 2 \\ 2 & 1 & -2 \\ -3 & 2 & 3 \end{vmatrix}
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Step 1: Expand the determinant along the first row: $$\begin{vmatrix} 3 & -3 & 2 \\ 2 & 1 & -2 \\ -3 & 2 & 3 \end{vmatrix} = 3\begin{vmatrix} 1 & -2 \\ 2 & 3 \end{vmatrix} - (-3)\begin{vmatrix} 2 & -2 \\ -3 & 3 \end{vmatrix} + 2\begin{vmatrix} 2 & 1 \\ -3 & 2 Show more…
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