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
    If \[\left| \,\begin{matrix}    1 & k & 3  \\    3 & k & -2  \\    2 & 3 & -1  \\ \end{matrix}\, \right|=0\],then the value of k is  [IIT 1979]

    A) - 1

    B) 0

    C) 1

    D) None of these

    Correct Answer: D

    Solution :

      \[\left| \,\begin{matrix}    1 & k & 3  \\    3 & k & -2  \\    2 & 3 & -1  \\ \end{matrix}\, \right|\,=\,0\Rightarrow k=\frac{33}{8}\].


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