# Let 11 12 11 22 21 22 : {0,1, 2}, ì ü æ ö = Î= í ý ç ÷ è ø î þ ij a a S a aa a a Then the number of non-singular matrices in the set S is :

Question:

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 :

1. 27

2. 24

3. 10

4. 20

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Matrices and Determinants chapter.
JEE Main Previous Year Online April 25, 2013

Solution:

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