Question

The number of all possible matrices of order 2 × 3 with each entry 1 or 2 is ______.

Options

• 16

• 6

• 64

• 24

Answer 1

The number of all possible matrices of order 2 × 3 with each entry 1 or 2 is 64.

Explanation:

The order of the matrix = 2 × 3

The number of elements = 2 × 3 = 6

Each place can have either 1 or 2. So, each place can be filled in 2 ways.

Thus, the number of possible matrices = 2⁶ = 64