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

  • question_answer
    The matrix \[A=\left[ \begin{matrix}    i & 1-2i  \\    -1-2i & 0  \\ \end{matrix} \right]\]is which of the following   [Kurukshetra CEE 2002]

    A) Symmetric

    B) Skew-symmetric

    C) Hermitian

    D) Skew-hermitian

    Correct Answer: D

    Solution :

    Since for \[A=\left[ \begin{matrix}    i & 1-2i  \\    -1-2i & 0  \\ \end{matrix} \right]\,\,{{(\bar{A})}^{T}}=-A\]. Thus, A is skew hermitian.


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