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?
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.