Linear Algebra: Determine if this set is a vector space. Either show that the necessary properties are satisfied, or give an example showing that at least one of them is not.

-The set P of all polynomials, with the usual definition of scalar multiplication, but with addition defined as polynomial multiplication (so f + g (warped addition) is equal to the product of f and g).

Question

Linear Algebra:  Determine if this set is a vector space.  Either show that the necessary properties are satisfied, or give an example showing that at least one of them is not. 

-The set P of all polynomials, with the usual definition of scalar multiplication, but with addition defined as polynomial multiplication (so f + g (warped addition) is equal to the product of f and g).

anonymous · Answer

Sorry Satellite73, I didn't get part of what your answer was earlier.

anonymous · Answer

In the second part of the answer, satellite said a(f+g) does not equal af + ag (all warped additon symbols).

anonymous · Answer

lol it does i think it is a vectorspace but i may be misunderstanding the question

anonymous · Answer

basically, the second rule is going to be f(+)g = f*g

anonymous · Answer

umm whoops I dont know i totally dont get the question hehe

anonymous · Answer

eeeyeah.  I completely understand because that's how I am right now.

anonymous · Answer

I just reposted it because I didn't understand what a user on here was trying to explain.

anonymous · Answer

Jamesj is really good get him to explain to u

anonymous · Answer

I am stuck on my own linear algebra questions. oh its so annoying

anonymous · Answer

can you link me to his profile?

anonymous · Answer

he is off now :(

anonymous · Answer

I am so lost.  I don't get any of this stuff :-(

anonymous · Answer

hehe me too :)