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Thread: Annihilator

  1. #1
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    Annihilator

    If anyone could help with this..

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


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

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



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

    Start by writing the definition of the annihilator.
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