Question

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is ______.

Options

• 27

• 18

• 81

• 512

Answer 1

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is 512.

Explanation:

The given matrix of order 3 × 3 has 9 elements and each of these elements can be either 0 or 1.

Now, each of the 9 elements can be filled in two possible ways.

Therefore, by the multiplication principle, the required number of possible matrices is (2)⁹ = 512