Determine whether the set with the definition of addition of vectors and scalar multiplication is a...
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Determine whether the set with the definition of addition ofvectors and scalar multiplication is a vector space. If it is,demonstrate algebraically that it satisfies the 8 vector axioms. Ifit's not, identify and show algebraically every axioms which isviolated. Assume the usual addition and scalar multiplication ifit's not defined. V = {all polynomials with real coefficients withdegree > or equal to 3 and the zero polynomial}
Determine whether the set with the definition of addition ofvectors and scalar multiplication is a vector space. If it is,demonstrate algebraically that it satisfies the 8 vector axioms. Ifit's not, identify and show algebraically every axioms which isviolated. Assume the usual addition and scalar multiplication ifit's not defined. V = {all polynomials with real coefficients withdegree > or equal to 3 and the zero polynomial}
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