Question

Write the number of all possible matrices of order `2xx2` with each entry `1,2,or3.`

Answer 1

A `2xx2` order matrix will contain `4` elements.
We have to create these matrices using `3` numbers that are `1`,`2` or `3`.
So, total number of all possible matrices are `3^4 = 81`.
Some of the examples of such matrices are,
`[[1,2],[2,3]],[[1,1],[2,2]],[[3,3],[1,1]],`
`[[1,1],[1,1]],[[2,2],[2,2]],[[3,3],[3,3]].`
Similarly, we can create `81` matrices with these three numbers.