15. Determine wheter the set is a vector space.(adsbygoogle = window.adsbygoogle || []).push({});

The set of all fifth-degree polynomials with the standard operations.

AXIOMS

1.u+v is in V

2.u+v=v+u

3.u+(v+w)=(u+v)+w

4.u+0=u

5.u+(-u)=0

6. cu is in V

7.c(u+v)=cu+cv

8.(c+d)u=cu+cd

9.c(du)=(cd)u

10.1(u)=u

the back of my book says that axioms 1,4,5, and 6 fail. I dont know why 4,5,and 6 fail. Can anyone help me?

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# Determine whether the set is a vector space

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