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Math Help - Span is the set of all symmetric 2x2 matrices

  1. #1
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    Span is the set of all symmetric 2x2 matrices

    Show that if

    M1= (1 0), M2= (0 0) M3 = (0 1),
    (0 0) (0 1) (1 0)

    then the span of {M1, M2, M3} is the set of all symmetric 2 x 2 matrices.


    I need to find the set of all linear combinations of the matrices. Can I have a hint for this problem?

    P.S. I read up on fields from my previous question and it still doesn't make sense to me.
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  2. #2
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    The matrix notation didn't come out good, The numbers in parentheses should be placed one directly over the other to indicate a matrix. Sorry.
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