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Mathematics 15 Online
OpenStudy (anonymous):

some body tell me about vector spaces

OpenStudy (anonymous):

What about them?

OpenStudy (anonymous):

They're just a setup we use in mathematics. It's easier to do a whole bunch of mathematics on an abstract system than to do the same mathematics on a whole bunch of supposedly 'different' systems. For example, polynomials under addition and scalar multiplication form a vector space, as do matrices. On the face of it, they look like completely different things, but, in terms of the axioms for a vector space, they're not. Consequently, all the mathematics we worked out for abstract vector spaces can be immediately applied to both systems.

OpenStudy (anonymous):

Thanx Lokisan; thats sufficient.

OpenStudy (anonymous):

No probs.

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