Evaluate the following determinants: 1. | cc 4 & 7 -7 & 0 | 2. | … - Vidyadip

Question

Evaluate the following determinants:
1. $\left|\begin{array}{cc}4 & 7 \\ -7 & 0\end{array}\right|$
2. $\left|\begin{array}{ccc}3 & -5 & 2 \\ 1 & 8 & 9 \\ 3 & 7 & 0\end{array}\right|$
3. $\left|\begin{array}{lll}1 & i & 3 \\ i^3 & 2 & 5 \\ 3 & 2 & i^4\end{array}\right|$
4. $\left|\begin{array}{lll}5 & 5 & 5 \\ 5 & 4 & 4 \\ 5 & 4 & 8\end{array}\right|$
5. $\left|\begin{array}{cc}2 i & 3 \\ 4 & -i\end{array}\right|$
6. $\left|\begin{array}{ccc}3 & -4 & 5 \\ 1 & 1 & -2 \\ 2 & 3 & 1\end{array}\right|$
7. $\left|\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right|$
8. $\left|\begin{array}{ccc}0 & a & -b \\ -a & 0 & -c \\ b & c & 0\end{array}\right|$

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