Answer :

Given: elements which can be used to form 2 × 2 order matrix are 1, 2 and 3


To find: Possible number of 2 × 2 order matrices which can be formed using given elements


Therefore,


Number of positions in a matrix are 4.



We have 3 elements to put in place of these 4 positions


So, for 1st position i.e. X we have 3 options or elements


Similarly, for other 3 positions too we have 3 options


Possible number of 2 × 2 order matrices which can be formed using given elements = 3 × 3 × 3 × 3 = 81 matrices


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