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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 given below \[\left| \text{ }\begin{matrix}    1 & 2 & 3  \\    3 & 5 & 7  \\    8 & 14 & 20  \\ \end{matrix} \right|\] is  [UPSEAT 2000]

    A) 20

    B) 10

    C) 0

    D) 5

    Correct Answer: C

    Solution :

    \[\Delta =1\,[100-98]+2[56-60]+3\,[42-40]\] \[\Delta =2-8+6=0\].


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