Quiz on Calculating the Determinant

det($\begin{bmatrix} 5 & 0 \\ 2 & 3 \end{bmatrix}$)

det($\begin{bmatrix} 2 & 3 & 0 & 0 \\ 1 & 4 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 3 \end{bmatrix}$)

det($\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$)

Solve for x: det($\begin{bmatrix} x & 1 & 2 \\ 0 & x & 3 \\ 0 & 0 & x \end{bmatrix}$) = 27

det($\begin{bmatrix} 1 & 0 & 0 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}$)