Question

How many possible matrices can be formed of order 3 × 3 if each entry is either 0 or 1?

Options

• 64

• 256

• 512

• 216

Answer 1

512

Explanation:

Total Positions: A matrix has 3 × 3 = 9 elements.

Choices: Each of these 9 positions can be filled in 2 ways (either 0 or 1).

According to the multiplication principle, the total number of possible matrices is 2² = 512