Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Matrices and Determinants/
Question 250005
JEE Mathematics · Easy

Matrices and Determinants: Symmetric matrix MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Symmetric matrixEasyQuestion 250005

Question

A matrix A is symmetric if:
  1. A
    Aᵀ = A
    Correct
  2. B
    Aᵀ = −A
  3. C
    A² = A
  4. D
    det(A) = 0

Correct answer

Aᵀ = A

Explanation

A symmetric matrix satisfies Aᵀ = A, meaning the matrix equals its own transpose. Equivalently, aᵢⱼ = aⱼᵢ for all i, j.

Review Matrices and Determinants notesStart timed chapter practice