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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
    \[\left| \,\begin{matrix}    0 & p-q & p-r  \\    q-p & 0 & q-r  \\    r-p & r-q & 0  \\ \end{matrix}\, \right|=\] [EAMCET 1993]

    A) 0

    B) \[(p-q)(q-r)(r-p)\]

    C) pqr

    D) \[3pqr\]

    Correct Answer: A

    Solution :

      Since determinant of a skew-symmetric matrix of odd order is zero.


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