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Math Help - Annihilator

  1. #1
    Newbie
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    Annihilator

    If anyone could help with this..

    In space M_2(\mathbb{C}) there is a set:


     L= \begin{Bmatrix} \begin{bmatrix} -1 & 0  \\ 0 & i  \end{bmatrix} , \begin{bmatrix} 0 & i  \\ 1 & 0 \end{bmatrix} \end{Bmatrix}

    Find a basis for the annihilator L^0 of L and complete it to a basis for the dual space of M_2(\mathbb{C})



    Thank you
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  2. #2
    Super Member girdav's Avatar
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    Jul 2009
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    Re: Annihilator

    Start by writing the definition of the annihilator.
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