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Math Help - Finding the vector

  1. #1
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    Finding the vector

    The set M(2,2) of a 2x2 matrix, with real entries, is a vector space.

    The set of diagonal matrices
    D=(a 0 )
    ( 0 b )

    where a, b are real numbers. is a subset of M(2,2).

    i)

    Write down two particular matrices which belong to
    D, and two particular matrices which belong to M(2,2) but not D.

    Two matrices which belong to D are

    (a) (0)
    v =(0) u=(b)

    I don't get the other part.. which does not belong to D.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Khonics89 View Post
    The set M(2,2) of a 2x2 matrix, with real entries, is a vector space.

    The set of diagonal matrices
    D=(a 0 )
    ( 0 b )

    where a, b are real numbers. is a subset of M(2,2).

    i)

    Write down two particular matrices which belong to
    D, and two particular matrices which belong to M(2,2) but not D.

    Two matrices which belong to D are

    (a) (0)
    v =(0) u=(b)

    I don't get the other part.. which does not belong to D.
    Is I_2\in D?
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  3. #3
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    It does not specify!
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