Let $A = [a_{ij}]$ be a square matrix of order 3 with each entry either 0 or 1, then the number of all such possible matrices is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 512
Matrix A is of order 3, so it has 3 × 3 = 9 entries.
Each entry can be either 0 or 1, giving 2 choices per entry.
Total number of matrices = 2⁹ = 512