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BCECE Engineering BCECE Engineering Solved Paper-2011

  • question_answer
    If \[A=\left| \begin{matrix}    a & 0 & 0  \\    0 & a & 0  \\    0 & 0 & a  \\ \end{matrix} \right|,\] then the value of\[|A||adj(A)|\]is

    A) \[{{a}^{3}}\]                                          

    B)         \[{{a}^{6}}\]                         

    C)         \[{{a}^{9}}\]                                         

    D)         \[{{a}^{27}}\]

    Correct Answer: C

    Solution :

    \[|A|={{a}^{3}},|adj(A)|={{({{a}^{3}})}^{2}}\Rightarrow |A||adj(A)|={{a}^{9}}\]


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