Question

Write the number of all possible matrices of order 2×2 with each entry 1 2 or 3

Answer 1

Order is 2×2

Number of elements = 4

in which 1,2,3 (Three) entry can be filled
and can repeat.

Number of possible matrices = 3⁴ = 81

Answer 2

Answer:

There are total 81   possible matrices   .

Explanation:

Consider  a matrix of 2 × 2 order .

And we know  that , there are total  4 elements  in the matrix of  order 2 ×2 .

And given in the question  that each  entry = 1 ,2 and 3

So , for each element , there are 3  possible entries .

Therefore , the number of possible matrices = $3^{4}$ = 81

Hence , there are  total 81 possible matrices.

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