A) 0
B) 10
C) 20
D) 100
Correct Answer: B
Solution :
We have, \[A(adj\,A)=\left[ \begin{matrix} 10 & 0 \\ 0 & 10 \\ \end{matrix} \right]\] or \[A(adj\,A)=10\,\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]=10I\] ?..(i) and \[{{A}^{-1}}=\frac{1}{|A|}\,(adj\,A)\] \[A(adj\,A)=|A|\,I\] ?..(ii) \[\therefore \] From equation (i) and (ii), we get \[|A|=10\].
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