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📐 Mathematics  ·  Matrices  ·  JEE

A skew-symmetric matrix satisfies:

Answer: A = -AT.

  • A A = AT
  • B A = -AT
  • C det(A) = 1
  • D A = 2AT

Correct answer: B. A = -AT

Explanation: A is skew-symmetric if A = -AT, meaning aij = -aji. All diagonal elements of a skew-symmetric matrix are zero.

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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