Question

The number of all the possible matrices of order 2 x 2 with each entry 0, 1, or 2 is ____________.

Options

• 12

• 81

• none of these

• 64

Answer 1

The number of all the possible matrices of order 2 x 2 with each entry 0, 1, or 2 is 81.

Explanation:

The number of elements in a 2 x 2 matrix is the product 2 x 2 =4
Each element can either be a 0,1 or 2.
Given this, the total number of possible matrices that can be selected is 3⁴.
`3^(2 xx 2) = 3^4 = 81`