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    Can someone help me with this question plz? Many thanks!

    EDIT: Got it now thanks

    (Original post by rockiee)
    Can someone help me with this question plz? Many thanks!

    I'm guessing you assume M_{2x2} (P) is a vector space in that case check that zero vector (zero matrix) is an element (trivial as zero-order polynomial and 0<2) and it is closed under matrix addition, job done.

    It is actually sufficient to show P2 is a subspace of P, as each entry of the ,atrix is unaffected by others in addition of matrices.
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Updated: October 15, 2006

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