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📐 Mathematics  ·  Determinants  ·  JEE

The determinant of matrix [[1,2,3],[0,4,5],[0,0,6]] is:

Answer: 24.

  • A 15
  • B 1
  • C 30
  • D 24

Correct answer: D. 24

Explanation: Upper triangular matrix: determinant = product of diagonal elements = 1 x 4 x 6 = 24.

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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