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📐 Mathematics  ·  Determinants  ·  JEE

Cramer's rule finds the solution xi using:

Answer: Determinants of modified matrices.

  • A Row reduction applied directly to the matrix
  • B Matrix inverse multiplication, computed separately
  • C Eigenvalues computed from the coefficient matrix
  • D Determinants of modified matrices

Correct answer: D. Determinants of modified matrices

Explanation: Cramer's rule: xi = det(Ai) / det(A), where Ai is matrix A with the i-th column replaced by the constant vector B.

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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