Mathematics · 2013
JEE Main · 25 April 2013, Shift 1 · Q67
Let S={ (a_11, a_12; a_21, a_22): a_i j ∈{0,1,2}, a_11=a_22} Then the number of non-singular matrices in the set S is:
Let
$$S=\left\{\left(\begin{array}{ll}
a_{11} & a_{12} \\
a_{21} & a_{22}
\end{array}\right): a_{i j} \in\{0,1,2\}, a_{11}=a_{22}\right\}
$$
Then the number of non-singular matrices in the set S is :
Official answer
(4)
$\displaystyle 20$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.