Compute \(\det\left(\begin{pmatrix}3&1\\2&5\end{pmatrix}\right)\).

Compute \(\det\left(\begin{pmatrix}1&2&0\\0&3&4\\0&0&5\end{pmatrix}\right)\).

Compute \(\det\left(\begin{pmatrix}2&1&0\\4&3&0\\1&5&6\end{pmatrix}\right)\) by expanding along column 3.

Use a row operation to compute \(\det\left(\begin{pmatrix}1&2\\3&8\end{pmatrix}\right)\).

Compute \(\det\left(\begin{pmatrix}2&4\\1&2\end{pmatrix}\right)\) and interpret the result.

Compute \(\det\left(\begin{pmatrix}1&1&1\\2&3&4\\0&1&2\end{pmatrix}\right)\).

Compute \(\det\left(\begin{pmatrix}0&2&0\\1&3&4\\5&6&7\end{pmatrix}\right)\) by expanding along row 1.

Compute \(\det\left(\begin{pmatrix}2&1&3\\0&4&5\\0&2&1\end{pmatrix}\right)\) by first expanding along column 1.

Use row reduction to compute \(\det\left(\begin{pmatrix}2&1&0\\4&5&1\\0&3&2\end{pmatrix}\right)\).

Find all real t such that \(\det\left(\begin{pmatrix}t&2\\8&t\end{pmatrix}\right)\) = 0.