Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

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:

Options:

256

81

243

512

Correct Answer:

512

Explanation:

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