Question

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

Answer 1

As matrices is of order 2 × 2, so there are 4 entries possible.

Each entry has 3 choices that are 1, 2 or 3

So, number of ways to make up such matrices are 3 × 3 × 3 × 3 i.e, 3⁴ times or 81 times.