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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 \[\left| \,\begin{matrix}    -1 & 1 & 1  \\    1 & -1 & 1  \\    1 & 1 & -1  \\ \end{matrix}\, \right|\]is equal to [Roorkee 1992]

    A) - 4

    B) 0

    C) 1

    D) 4

    Correct Answer: D

    Solution :

    Apply \[{{R}_{1}}\to {{R}_{1}}+{{R}_{2}}\] and then expand along\[{{R}_{1}}\].


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