01) Calcule os determinantes das matrizes abaixo utilizando ...

1. Calcule os determinantes das matrizes abaixo utilizando o teorema de Laplace: a) $M=\left[\begin{array}{cccc}3 & 4 & 2 & 1 \\ 5 & 0 & -1 & -2 \\ 0 & 0 & 4 & 0 \\ -1 & 0 & 3 & 3\end{array}\right]$ $\square$ b) $M=\left[\begin{array}{llll}0 & a & b & 1 \\ 0 & 1 & 0 & 0 \\ a & a & 0 & b \\ 1 & b & a & 0\end{array}\right]$ $\square$ c) $M=\left[\begin{array}{llll}1 & 3 & 2 & 0 \\ 3 & 1 & 0 & 2 \\ 2 & 3 & 0 & 1 \\ 0 & 2 & 1 & 3\end{array}\right]$ $\square$ d) $M=\left[\begin{array}{ccccc}1 & 2 & 3 & 4 & 5 \\ 0 & a & -1 & 3 & 1 \\ 0 & 0 & b & 2 & 3 \\ 0 & 0 & 0 & c & 2 \\ 0 & 0 & 0 & 0 & d\end{array}\right]$ $\square$ e) $M=\left[\begin{array}{llllll}x & 0 & 0 & 0 & 0 & 0 \\ a & y & 0 & 0 & 0 & 0 \\ l & p & z & 0 & 0 & 0 \\ m & n & p & x & 0 & 0 \\ b & c & d & e & y & 0 \\ a & b & c & d & e & z\end{array}\right]$