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GATE 2025 AE – Question 11

Engineering Mathematics · Linear Algebra: Vector algebra, matrix algebra, systems of linear equations, rank, eigenvalues and eigenvectors · 1 mark · Multiple choice

For any real symmetric matrix $A$, the transpose of $A$ is ____.

  1. inverse of $A$
  2. null matrix
  3. $-A$
  4. $A$

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Correct answer: (D) $A$

Explanation

A matrix is symmetric when it equals its transpose, $A^T = A$.