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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-6

  • question_answer
    \[A=\left[ \begin{align}   & 2\,\,\,\,0\,\,\,\,7 \\  & 7\,\,\,\,0\,\,\,\,5 \\  & 0\,\,\,\,0\,\,\,\,3 \\ \end{align} \right]\], then \[{{\mathbf{A}}^{\mathbf{2}}}\]is equal to:

    A)  A                                

    B)  2A            

    C)  ? 2A                           

    D)  \[-A\]

    Correct Answer: A

    Solution :

    [a] \[\because A=\left| \begin{align}   & 2\,\,\,\,\,0\,\,\,\,\,4 \\  & 7\,\,\,\,\,0\,\,\,\,\,5 \\  & 0\,\,\,\,\,0\,\,\,\,\,3 \\ \end{align} \right|\]which is singular. So, \[{{A}^{2}}=A.\] Hence, option [a] is correct.


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