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
Solution:
In a matrix of order $3 \times 3$, there are 9 elements.
Each element of the matrix have two options (either 2 or 0 ).
Hence, total number of possible matrices are $2^{9}$.
Hence, the correct option is (d).