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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 \[\left| \,\begin{matrix}    {{5}^{2}} & {{5}^{3}} & {{5}^{4}}  \\    {{5}^{3}} & {{5}^{4}} & {{5}^{5}}  \\    {{5}^{4}} & {{5}^{5}} & {{5}^{7}}  \\ \end{matrix}\, \right|\]is

    A) \[{{5}^{2}}\]

    B) 0

    C) \[{{5}^{13}}\]

    D) \[{{5}^{9}}\]

    Correct Answer: B

    Solution :

    Taking out 5 from \[{{R}_{2}}\]  makes\[{{R}_{2}}={{R}_{1}}\].


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