Zaymiey

📐 Mathematics  ·  Matrices  ·  JEE

A symmetric matrix satisfies:

Answer: A = AT.

  • A A = AT
  • B A = -AT
  • C AT = 0
  • D det(A) = 0

Correct answer: A. A = AT

Explanation: A matrix A is symmetric if A = AT, meaning element aij = aji for all i, j.

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

Read the full Matrices notes →