JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Self Evaluation Test - Determinats

  • question_answer
    The maximum and minimum value of \[(3\times 3)\]determinant whose elements belongs to \[\{0,1\}\] is

    A) \[1,-1\]

    B) \[2,-2\]

    C) \[4,-4\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[{{\left| A \right|}_{\max }}=\left[ \begin{matrix}    0 & 1 & 1  \\    1 & 0 & 1  \\    1 & 1 & 0  \\ \end{matrix} \right]=0-(-1)+1(1)=2\] \[\therefore \,\,\,\,{{\left| A \right|}_{\min }}=-2\]


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