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

  • question_answer
    If \[A=\left[ \begin{matrix}    1 & 0 & 1  \\    0 & 1 & 1  \\    1 & 0 & 0  \\ \end{matrix} \right]\], then A is [MP PET 1991]

    A) Symmetric

    B) Skew-symmetric

    C) Non-singular

    D) Singular

    Correct Answer: C

    Solution :

    \[\Delta =\left[ \begin{matrix}    1 & 0 & 1  \\    0 & 1 & 1  \\    1 & 0 & 0  \\ \end{matrix} \right]=-1\ne 0\], hence matrix is non-singular.


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