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Homework Statement
For each of the following sets, either verify (as in Example 1) that it is a vector space, or show which requirements are not satisfied. If it is a vector space, find a basis and the dimension of the space.
6. Polynomials of degree ≤ 6 with a3 = 3.
Homework Equations
N/A
The Attempt at a Solution
I put that it was a vector space with the basis of {1,x,x^2,3*x^3,x^4,x^5,x^6} and dimension of 7. I am not sure why it fails to be a vector space.
Chris