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 ：\(\text{Matrix A} = \begin{bmatrix} 1 & 2 & 30 \\ 0 & -3 & 4 \\ 5 & 1 & -1 \end{bmatrix}\)

Step 2 ：\(\text{Matrix B} = \begin{bmatrix} 7 & 0 & -2 \\ 1 & 3 & 2 \\ 0 & -1 & 1 \end{bmatrix}\)

Step 3 ：\(\text{Matrix C} = \begin{bmatrix} 7 & 6 & 5 \\ 2 & 3 & 19 \\ -4 & 11 & 5 \end{bmatrix}\)

Step 4 ：\(\text{Matrix D} = \begin{bmatrix} 4 & 5 & 11 \\ 0 & -2 & 17 \\ 0 & 0 & 3 \end{bmatrix}\)

Step 5 ：\(\text{Matrix E} = \begin{bmatrix} 0 & 0 & 0 \\ 2 & 3 & 19 \\ -4 & 11 & 5 \end{bmatrix}\)

Step 6 ：\(\text{Matrix F} = \begin{bmatrix} 3 & 0 & 0 \\ -5 & 1 & 0 \\ 11 & 6 & 14 \end{bmatrix}\)

Step 7 ：\(\text{Determinant A} = \boxed{489}\)

Step 8 ：\(\text{Determinant B} = \boxed{37}\)

Step 9 ：\(\text{Determinant C} = \boxed{-1704}\)

Step 10 ：\(\text{Determinant D} = \boxed{-24}\)

Step 11 ：\(\text{Determinant E} = \boxed{0}\)

Step 12 ：\(\text{Determinant F} = \boxed{42}\)