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📐 Mathematics  ·  Determinants  ·  JEE

The adjoint of a 2x2 matrix [[a,b],[c,d]] is:

Answer: [[d,-b],[-c,a]].

  • A [[d,-b],[-c,a]]
  • B [[d,b],[c,a]]
  • C [[-d,b],[c,-a]]
  • D [[a,c],[b,d]]

Correct answer: A. [[d,-b],[-c,a]]

Explanation: For [[a,b],[c,d]], swap a and d, and negate b and c: adj(A) = [[d,-b],[-c,a]].

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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