Math Help - linear algebra

1. linear algebra

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.

2. Originally Posted by apple12
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?

3. Hi Jhvon,

I think the answer of 2) is false. Am i correct?
thanks

4. Originally Posted by apple12
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