State the cofactor expansion formula along row 1 for a \(3\times 3\) matrix \(A=\begin{pmatrix}a&b&c\\d&e&f\\g&h&i\end{pmatrix}\).

For \(A=\begin{pmatrix}1&2&0\\3&4&5\\6&7&8\end{pmatrix}\), find the minor M_13.

For \(A=\begin{pmatrix}1&2&0\\3&4&5\\6&7&8\end{pmatrix}\), find the cofactor C_13.

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

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

Choose the best row or column for cofactor expansion of \(\begin{pmatrix}4&0&0\\1&2&3\\5&0&6\end{pmatrix}\), and compute the determinant.

For a \(4\times 4\) matrix, what size is the minor matrix obtained by deleting one row and one column?

Explain the sign pattern for cofactors in a \(3\times 3\) determinant.

Compute \(\det\left(\begin{pmatrix}1&2&3\\4&5&6\\7&8&9\end{pmatrix}\right)\) by expanding along row 1.

A learner expands along row 1 but uses all plus signs. Explain why this is wrong for a \(3\times 3\) determinant.