A) \[\left[ \begin{matrix} -5 & -8 \\ -2 & 1 \\ \end{matrix} \right]\]
B) \[\left[ \begin{matrix} -5 & -2 \\ -8 & 1 \\ \end{matrix} \right]\]
C) \[\left[ \begin{matrix} 5 & -8 \\ -2 & 1 \\ \end{matrix} \right]\]
D) \[\left[ \begin{matrix} 5 & -8 \\ -2 & -1 \\ \end{matrix} \right]\]
Correct Answer: A
Solution :
Let \[A=\left[ \begin{matrix} 1 & 8 \\ 2 & -5 \\ \end{matrix} \right]\] \[{{a}_{11}}=-5,{{a}_{12}}=-2\] \[{{a}_{21}}=-8,{{a}_{22}}=1\] \[\therefore \] \[adj(A)={{\left[ \begin{matrix} -5 & -2 \\ -8 & 1 \\ \end{matrix} \right]}^{T}}\] \[=\left[ \begin{matrix} -5 & -8 \\ -2 & 1 \\ \end{matrix} \right]\]
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