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📐 Mathematics  ·  Determinants  ·  JEE

A system AX = B has a unique solution when:

Answer: det(A) is not zero.

  • A det(A) = 0
  • B A is singular
  • C B = 0
  • D det(A) is not zero

Correct answer: D. det(A) is not zero

Explanation: A unique solution exists when the coefficient matrix A is non-singular, i.e., det(A) is not zero.

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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