Q. 3

Write the number

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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