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📐 Mathematics  ·  Matrices  ·  JEE

For a 3×3 matrix A with det(A) = 5, det(adj A) equals:

Answer: 25.

  • A 5
  • B 10
  • C 25
  • D 125

Correct answer: C. 25

Explanation: det(adj A) = det(A)<sup>n−1</sup> = 5² = 25.

Matrix A (3 rows x 3 columns)a11a12a13a21a22a23a31a32a33column 1column 2column 3row 1row 2row 3

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems

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