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VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    If \[D=\] diag \[({{d}_{1}},{{d}_{2}},\,......\,{{d}_{n}}),\]where \[{{d}_{i}}\ne 0,\]for\[i=1,\,2,\,.....\,n,\]then \[{{D}^{-1}}\]is equal to

    A)  \[{{D}^{T}}\]

    B)  \[D\]

    C)  \[\text{adj}\,(D)\]

    D)  \[\text{diag}\,(d_{1}^{-1},\,d_{2}^{-1},\,....\,d_{n}^{-1})\]

    Correct Answer: D

    Solution :

    If \[D=diag({{d}_{1}},{{d}_{2}},...,{{d}_{n}})\] \[\therefore \]\[{{D}^{-1}}=diag(d_{1}^{-1},d_{2}^{-1},...d_{n}^{-1})\]


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