imo class 12 matrices

How many all possible matrices of order 3 × 3 can be formed with each entry being either 0 or 1?

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How many all possible matrices of order 3 × 3 can be formed with each entry being either 0 or 1?

  • A. 27
  • B. 18
  • C. 81
  • D. 512

Answer: D) 512

Explanation: A 3 × 3 matrix has 9 elements. Each element can take 2 possible values (0 or 1). Thus, the total number of matrices is 2⁹ = 512.

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