JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Types of matrices, Algebra of matrices

  • question_answer
    If \[A=\left[ \begin{matrix}    0 & 1 & -2  \\    -1 & 0 & 5  \\    2 & -5 & 0  \\ \end{matrix} \right]\], then [MNR 1982]

    A) \[{A}'=A\]

    B) \[{A}'=-A\]

    C) \[{A}'=2A\]

    D) None of these

    Correct Answer: B

    Solution :

    \[{A}'=\left[ \begin{matrix}    0 & -1 & 2  \\    1 & 0 & -5  \\    -2 & 5 & 0  \\ \end{matrix} \right]=-A\].


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