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
    \[\left| \,\begin{matrix}    11 & 12 & 13  \\    12 & 13 & 14  \\    13 & 14 & 15  \\ \end{matrix}\, \right|=\] [Karnataka CET 1991]

    A) 1

    B) 0

    C) -1

    D) 67

    Correct Answer: B

    Solution :

    Apply \[{{C}_{3}}\to {{C}_{3}}-{{C}_{2}}\] and \[{{C}_{2}}\to {{C}_{2}}-{{C}_{1}}\].


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