12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-1

  • question_answer
    If A and B are invertible matrices, then which of the following is not true?

    A)  \[adj\,(A)\,=\,\left| A \right|{{A}^{-1}}\]

    B)         \[\det \,({{A}^{-1}})\,=\,{{[\det A]}^{-1}}\]

    C)  \[{{(AB)}^{-1}}={{B}^{-1}}{{A}^{-1}}\]   

    D)  \[{{(A+B)}^{-1}}={{B}^{-1}}+{{A}^{-1}}\]

    Correct Answer: D


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