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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
    \[\left| \,\begin{matrix}    19 & 17 & 15  \\    9 & 8 & 7  \\    1 & 1 & 1  \\ \end{matrix}\, \right|=\] [MP PET 1990]

    A) 0

    B) 187

    C) 354

    D) 54

    Correct Answer: A

    Solution :

      \[\left| \,\begin{matrix}    19 & 17 & 15  \\    9 & 8 & 7  \\    1 & 1 & 1  \\ \end{matrix}\, \right|\,=19-34+15=0\].


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