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📐 Mathematics  ·  Determinants  ·  JEE

The (i,j) cofactor Cij of a matrix is defined as:

Answer: (-1) i+j x Minor Mij.

  • A Minor Mij directly
  • B (-1)<sup>i+j</sup> x Minor Mij
  • C det(A) x (-1)<sup>i</sup>
  • D Element a<sub>ij</sub> x (-1)<sup>i+j</sup>

Correct answer: B. (-1)<sup>i+j</sup> x Minor Mij

Explanation: Cofactor Cij = (-1)<sup>i+j</sup> x Mij, where Mij is the determinant of the submatrix formed by deleting row i and column j.

Concept context

Evaluation of determinants, cofactors, adjoint, inverse of matrix, Cramer's rule and area applications. Always in board and JEE.

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