Computing a Determinant Worksheet with Answer Key

What's on the worksheet

1. Find each determinant.
2. Find each determinant.
   \begin{vmatrix} 3 & -1 & 2 \\ 4 & 5 & -3 \\ 0 & 2 & 0 \end{vmatrix}\begin{vmatrix} 2 & -3 & 1 \\ 4 & 0 & -2 \\ -1 & 5 & 3 \end{vmatrix}\begin{vmatrix} 1 & 4 & -2 \\ 3 & -1 & 2 \\ 0 & 5 & 1 \end{vmatrix}
3. The arrows (3, 2) and (k, 4) span a parallelogram of area 4.
4. Solve vmatrix x & 5 \\ 5 & x + 3 vmatrix = 15.
5. Let A = \begin{bmatrix} 2 & -1 \\ 3 & 4 \end{bmatrix} \qquad B = \begin{bmatrix} 1 & 2 \\ -2 & 5 \end{bmatrix}
6. For each pair of arrows, find the determinant with the first arrow as column 1 and the second as column 2.