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

512

Explanation:

The given matrix is of order 3 × 3 and has 9 elements, each of which is either 0 or 1.

Each of the nine elements can now be filled in one of two ways.

As a result, the required number of matrices is 2⁹ = 512.