If \( \Delta=\left|\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_...
0If \( \Delta=\left|\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right| \)
and \( c_{i j}=(-1)^{i+j} \) (determinant obtained by deleting ith row and \( j \) th column), then
\[
\left|\begin{array}{lll}
c_{11} & c_{12} & c_{13} \\
c_{21} & c_{22} & c_{23} \\
c_{31} & c_{32} & c_{33}
\end{array}\right|=\Delta^{2} .
\]
Suppose \( a, b, c \in \mathbf{R}, a+b+c0, A=b c-a^{2}, B= \) \( c a-b^{2} \) and \( C=a b-c^{2} \),
and \( \left|\begin{array}{lll}A & B & C \\ B & C & A \\ C & A & B\end{array}\right|=49 \),
then \( \left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right| \) equals
(a) \( -7 \)
(b) 2401
(c) \( -2401 \)
(d) 7
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