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📐 Mathematics  ·  Matrices  ·  JEE

If A is an n x n matrix, det(A<sup>T</sup>) =

Answer: det(A).

  • A n det(A)
  • B 0
  • C det(A)
  • D -det(A)

Correct answer: C. det(A)

Explanation: The determinant of a matrix equals the determinant of its transpose: det(A<sup>T</sup>) = det(A).

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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