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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    The value of determinant\[\left| \begin{matrix}    4 & -6 & 1  \\    -1 & -1 & 1  \\    -4 & 11 & -1  \\ \end{matrix} \right|\]is

    A)  25               

    B)  \[-25\]

    C)  0              

    D)  \[-75\]

    Correct Answer: B

    Solution :

     \[\left| \begin{matrix}    4 & -6 & 1  \\    -1 & -1 & 1  \\    -4 & 11 & -1  \\ \end{matrix} \right|=4[1-11]-(6)[1+4]+1[-11-4]\] \[=4[-10]+6[5]+1[-15]\] \[=-40+30-15\] \[=-55+30=-25\]


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