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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Expansion of determinants, Solution of equation in the form of determinants and properties of determinants

  • question_answer
    The value of the determinant \[\left| \,\begin{matrix}    2 & 8 & 4  \\    -5 & 6 & -10  \\    1 & 7 & 2  \\ \end{matrix}\, \right|\]is   [MP PET 1994]

    A) - 440

    B) 0

    C) 328

    D) 488

    Correct Answer: B

    Solution :

    \[\left| \,\begin{matrix}    2 & 8 & 4  \\    -5 & 6 & -10  \\    1 & 7 & 2  \\ \end{matrix}\, \right|\,=2\,\left| \,\begin{matrix}    2 & 8 & 2  \\    -5 & 6 & -5  \\    1 & 7 & 1  \\ \end{matrix}\, \right|=0\] (Taking 2 common from\[{{C}_{3}}\]).


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