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📐 Mathematics  ·  Determinants  ·  JEE

The inverse of a non-singular matrix A is given by:

Answer: adj(A) / det(A).

  • A A x det(A)
  • B adj(A) x det(A)
  • C A / det(A)
  • D adj(A) / det(A)

Correct answer: D. adj(A) / det(A)

Explanation: A<sup>-1</sup> = adj(A) / det(A). The inverse exists only when det(A) is not equal to 0.

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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