Evaluate each determinant. $$\left|\begin{array}{rrr} 3 & 1 & 0 \\ -3 & 4 & 0 \\ -1 & 3 & -5 \end{array}\right|$$
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Step 1
First, we can expand the determinant along the first column: $$\left|\begin{array}{rrr} 3 & 1 & 0 \\ -3 & 4 & 0 \\ -1 & 3 & -5 \end{array}\right| = 3\left|\begin{array}{rr} 4 & 0 \\ 3 & -5 \end{array}\right| - (-3)\left|\begin{array}{rr} 1 & 0 \\ 3 & -5 Show more…
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