A) \[42,3,-42,3\]
B) \[-42,-3,42\]
C) \[42,3,42,3,-3\]
D) \[42,3,-42,3\]
Correct Answer: B
Solution :
Given, matrix \[=\left[ \begin{matrix} -1 & -2 & 3 \\ -4 & -5 & -6 \\ -7 & 8 & 9 \\ \end{matrix} \right]\] minor of \[(-4)=\left| \begin{matrix} -2 & 3 \\ 8 & 9 \\ \end{matrix} \right|\] \[=-18-24=-42\] minor of \[9=\left| \begin{matrix} -1 & -2 \\ -4 & -5 \\ \end{matrix} \right|\] \[=5-8=-3\] cofactor of \[(-4)={{(-1)}^{2+1}}\left| \begin{matrix} -2 & 3 \\ 8 & 9 \\ \end{matrix} \right|=42\] and cofactor of \[9={{(-1)}^{3+3}}\left| \begin{matrix} -1 & -2 \\ -4 & -5 \\ \end{matrix} \right|=-3\]
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