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Math Help - Dimension and Span of M_22

  1. #1
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    Dimension and Span of M_22

    Let S = { ( 1 2 1 2) , (1 0 1 1), (0 2 0 1), (1 0 0 1)}

    where these matricies ar 2x2 and the 1st 2 numbers are the top left to right, and the last 2 numbers are the bottom left to right (stacked).

    What is the dimesnsion of Span S?

    Does Span S = M_22 = the vector space of all 2x2 real matricies?

    Prove.

    Where do I start with these 2x2 matricies??

    Thanks!
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  2. #2
    MHF Contributor
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    Is it REALLY all that different from 4-vectors? What would you answer if this were the case? (Note: You may have to define multiplication a little differently.)
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