Q.

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

1 9  
2 27  
3 81  
4 512  

Ans.

(4)

Ans.     512

Explanation:

Number of entries in 3 × 3 matrix is 9. Since each entry has 2 choices, namely 2 or 0, therefore, number of possible matrices 

=2×2×2×⋯×2⏟9 times=29=512