JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Special types of matrices, Transpose, Adjoint and Inverse of matrices

  • question_answer
    If A is a square matrix, then \[A+{{A}^{T}}\]is  [RPET 2001]

    A) Non singular matrix

    B) Symmetric matrix

    C) Skew-symmetric matrix

    D) Unit matrix

    Correct Answer: B

    Solution :

    \[A+{{A}^{T}}\] is a square matrix. \[{{(A+{{A}^{T}})}^{T}}={{A}^{T}}+{{({{A}^{T}})}^{T}}={{A}^{T}}+A\] Hence A is a symmetric matrix.


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