imo class 12 determinants

Find the cofactor of the element 4 in the determinant [1 2 3; 4 5 6; 7 8 9].

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Find the cofactor of the element 4 in the determinant [1 2 3; 4 5 6; 7 8 9].

  • A. 3
  • B. -3
  • C. 6
  • D. -6

Answer: C) 6

Explanation: Element 4 is a₂₁. Deleting row 2 and col 1 leaves |2 3; 8 9|. Minor M₂₁ = 18 - 24 = -6. Cofactor C₂₁ = (-1)³(-6) = 6.

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