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JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(S = \left\{ {\left( {\begin{array}{*{20}{c}}
{{a_{11}}}&{{a_{12}}}\\
{{a_{21}}}&{{a_{22}}}
\end{array}} \right):{a_{ij}} \in \left\{ {0,1,2} \right\},{a_{11}} = {a_{22}}} \right\}\) Then the number of non-singular matrices in the set \(S\) is
- A \(27\)
- B \(24\)
- C \(10\)
- D \(20\)
Answer & Solution
Correct Answer
(D) \(20\)
Step-by-step Solution
Detailed explanation
The matrices in the form \(\left[ {\begin{array}{*{20}{c}} {{a_{11}}}&{{a_{12}}}\\ {{a_{21}}}&{{a_{22}}} \end{array}} \right],{a_{ij}} \in \left\{ {0,1,2} \right\},{a_{ 11}} = {a_{12}}\) are…
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