Question:
The value of $\left|\begin{array}{ccc}5^{2} & 5^{3} & 5^{4} \\ 5^{3} & 5^{4} & 5^{5} \\ 5^{4} & 5^{5} & 5^{6}\end{array}\right|$ is
(a) $5^{2}$
(b) 0
(c) $5^{13}$
(d) $5^{9}$
Solution:
(b) 0
$\begin{array}{ccc}\mid 5^{2} & 5^{3} & 5^{4} \\ 5^{3} & 5^{4} & 5^{5} \\ 5^{4} & 5^{5} & 5^{6}\end{array}$
