1 - Calcule estes determinantes.
a) $\left|\begin{array}{ccc}1& 2& 30\\ 0& -3& 4\\ 5& 1& -1\end{array}\right|$
b) $\left|\begin{array}{ccc}7& 0& -2\\ 1& 3& 2\\ 0& -1& 1\end{array}\right|$
c) $\left|\begin{array}{ccc}7& 6& 5\\ 2& 3& 19\\ -4& 11& 5\end{array}\right|$
d) $\left|\begin{array}{ccc}4& 5& 11\\ 0& -2& 17\\ 0& 0& 3\end{array}\right|$
e) $\left|\begin{array}{ccc}0& 0& 0\\ 2& 3& 19\\ -4& 11& 5\end{array}\right|$
f) $\left|\begin{array}{ccc}3& 0& 0\\ -5& 1& 0\\ 11& 6& 14\end{array}\right|$

Step 1 ：$\text{Matrix A}=\left[\begin{array}{ccc}1& 2& 30\\ 0& -3& 4\\ 5& 1& -1\end{array}\right]$

Step 2 ：$\text{Matrix B}=\left[\begin{array}{ccc}7& 0& -2\\ 1& 3& 2\\ 0& -1& 1\end{array}\right]$

Step 3 ：$\text{Matrix C}=\left[\begin{array}{ccc}7& 6& 5\\ 2& 3& 19\\ -4& 11& 5\end{array}\right]$

Step 4 ：$\text{Matrix D}=\left[\begin{array}{ccc}4& 5& 11\\ 0& -2& 17\\ 0& 0& 3\end{array}\right]$

Step 5 ：$\text{Matrix E}=\left[\begin{array}{ccc}0& 0& 0\\ 2& 3& 19\\ -4& 11& 5\end{array}\right]$

Step 6 ：$\text{Matrix F}=\left[\begin{array}{ccc}3& 0& 0\\ -5& 1& 0\\ 11& 6& 14\end{array}\right]$

Step 7 ：$\text{Determinant A}=\boxed{{\displaystyle 489}}$

Step 8 ：$\text{Determinant B}=\boxed{{\displaystyle 37}}$

Step 9 ：$\text{Determinant C}=\boxed{{\displaystyle -1704}}$

Step 10 ：$\text{Determinant D}=\boxed{{\displaystyle -24}}$

Step 11 ：$\text{Determinant E}=\boxed{{\displaystyle 0}}$

Step 12 ：$\text{Determinant F}=\boxed{{\displaystyle 42}}$