- Multiply the following two matrices: \[ \begin{pmatrix} 1+i&i&2\\ 0&-7&1\\ 0&-3i&6 \end{pmatrix} \begin{pmatrix} 1-i&i&1\\ 0&-7&0\\ 1&-3i&6 \end{pmatrix} \]
- Find the determinant of the following matrix: \[ \begin{pmatrix} re^{i\theta}&3&1\\ 0&se^{i\phi}&7\\ 3&0&-2 \end{pmatrix} \]