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Math Help - linear algebra

  1. #1
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    linear algebra

    urgent help please.
    1) The set of all polynomials of degree bigger than or equal n is a vector space.

    2.) Let M denote the set of m x n matrices whose entries are rational numbers. M is a vector space over the real numbers( ie. when the set of scalars is the real numbers).

    Thank you very much.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by apple12 View Post
    urgent help please.
    1) The set of all polynomials of degree bigger than or equal n is a vector space.

    2.) Let M denote the set of m x n matrices whose entries are rational numbers. M is a vector space over the real numbers( ie. when the set of scalars is the real numbers).

    Thank you very much.
    there is a checklist of properties you must have to tell whether a set forms a vector space (you can find it here). can you check whether or not your sets satisfy the requirements?
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  3. #3
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    Hi Jhvon,

    I think the answer of 2) is false. Am i correct?
    thanks
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by apple12 View Post
    Hi Jhvon,

    I think the answer of 2) is false. Am i correct?
    thanks
    2) is false. Just so we know that you know, can you tell us why this is false?

    -Dan
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