Let \( a_{1} \neq 0 \) and \( A_{1}, B_{1}, C_{1} \ldots \) be respectively the cofactors of the...
Let \( a_{1} \neq 0 \) and \( A_{1}, B_{1}, C_{1} \ldots \) be respectively the cofactors of the elements \( a_{1}, b_{1}, c_{1} \ldots \) of
\[
\Delta=\left|\begin{array}{lll}
a_{1} & b_{1} & c_{1} \\
a_{2} & b_{2} & c_{2} \\
a_{3} & b_{3} & c_{3}
\end{array}\right|
\]
If \( \Delta=63 \), find the value of
\[
\frac{1}{a_{1}}\left|\begin{array}{ll}
B_{2} & C_{2} \\
B_{3} & C_{3}
\end{array}\right|
\]
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