imo class 12 determinants

What is the maximum value of a 3×3 determinant whose elements are chosen from {0, 1}?

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What is the maximum value of a 3×3 determinant whose elements are chosen from {0, 1}?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Answer: B) 2

Explanation: For elements {0, 1}, the maximum determinant of a 3×3 matrix is 2 (e.g., placing 0s on the main diagonal and 1s everywhere else).

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