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

  • question_answer
    If A is a symmetric matrix, then matrix \[{M}'AM\]is [MP PET 1990]

    A) Symmetric

    B) Skew-symmetric

    C) Hermitian

    D) Skew-Hermitian

    Correct Answer: A

    Solution :

    \[({M}'AM{)}'={M}'{A}'M={M}'AM\] {A is symmetric. Hence \[{M}'AM\] is a symmetric matrix).


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