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 \[\left| \,\begin{matrix}    441 & 442 & 443  \\    445 & 446 & 447  \\    449 & 450 & 451  \\ \end{matrix}\, \right|\] is [Karnataka CET 2004]

    A) \[441\times 446\times 451\]

    B) 0

    C) - 1

    D) 1

    Correct Answer: B

    Solution :

    \[{{A}^{n}}=\left[ \,\begin{matrix}    1 & 2n  \\    0 & 1  \\ \end{matrix}\, \right]\] \[\left\{ {{C}_{1}}\to {{C}_{1}}-{{C}_{2}},\,{{C}_{2}}\to {{C}_{2}}-{{C}_{3}} \right\}\]


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