Question

The number of possible matrices of order 3 × 3 with each entry 2 or 0 is

(a) 9
(b) 27
(c) 81
(d) none of these

Answer 1

In a matrix of order 3 × 3, there are 9 elements.

Each element of the matrix have two options (either 2 or 0).

Hence, total number of possible matrices are 2⁹.

Hence, the correct option is (d).