Each entry is the number of all possible matrices of 3 × 3 with 0 or 1, respectively.

Correct option is D

Concept:

1. A $$3 \times$$​ 3 matrix has 3 $$\times$$​ 3 = 9 entries
2. Each entry has 2 choices: 0 or 1

Formula Used:

The total number of matrices is given by:
Total Matrices = $$2^n$$​ m
where n and m are the dimensions of the matrix.

Solution:

Substitute n = 3 and m = 3 into the formula:
Total Matrices = $$2^{3 \times 3} = 2^9$$​

Simplify:
Total Matrices = 512

Final Answer:

The total number of possible 3 $$\times$$​ 3 matrices with entries 0 or  1 is 512