RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

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

    A)  symmetric matrix

    B)  anti-symmetric matrix

    C)  diagonal matrix

    D)  triangular matrix

    Correct Answer: A

    Solution :

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


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