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📐 Mathematics  ·  Matrices  ·  JEE

A square matrix A is called symmetric if:

Answer: Aᵀ = A.

  • A Aᵀ = A
  • B Aᵀ = −A
  • C Aᵀ = 0
  • D A = I

Correct answer: A. Aᵀ = A

Explanation: A symmetric matrix equals its own transpose: Aᵀ = 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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