Question

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

Options

• 81

• 18

• none of these

• 512

Answer 1

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

Explanation:

`2^(3 xx 3) = 2^9 = 512.`

The number of elements in a 3 x 3 matrix is the product 3 x 3 = 9.
Each element can either be a 0 or a 1.
Given this, the total possible matrices that can be selected is 2⁹ = 512.