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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    The value of a for which the matrix\[A=\left[ \begin{matrix}    a & 2  \\    2 & 4  \\ \end{matrix} \right]\]is singular:

    A)  \[a\ne 1\]                          

    B)                         \[a=1\]

    C)                         \[a=0\]               

    D)                         \[a=-1\]

    E)                         none of these

    Correct Answer: B

    Solution :

    If matrix A is singular, then\[|A|=0\] \[\therefore \]  \[\left| \begin{matrix}    a & 2  \\    2 & 4  \\ \end{matrix} \right|=0\] \[\Rightarrow \]               \[4a-4=0\] \[\Rightarrow \]               \[a=1\]


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