A) \[6\]
B) \[16\]
C) \[10\]
D) none of these
Correct Answer: C
Solution :
Key Idea: If\[A=\left[ \begin{matrix} a & b \\ c & d \\ \end{matrix} \right]\], then\[adj\,\,A=\left[ \begin{matrix} d & -b \\ -c & a \\ \end{matrix} \right]\] We have, \[A=\left[ \begin{matrix} 4 & 2 \\ 3 & 4 \\ \end{matrix} \right]\] Cofactors of \[A\] are \[{{C}_{11}}=4,\,\,{{C}_{12}}=-3\] \[{{C}_{21}}=-2,\,\,{{C}_{22}}=4\] \[adj\,\,A=\left[ \begin{matrix} 4 & -2 \\ -3 & 4 \\ \end{matrix} \right]\] Note: In any matrix we do not determine a value.
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