Testing for a Vector Space In Exercises 13-36, determine whether the set, together with the standard operations, is a vector space. If it is not, identify at least one of the ten vector space axioms that fails. 13. M, 4.6 14. M, 15. The a set of all third-degree polynomials 16. The set of all fifth-degree polynomials 17. The set of all first-degree polynomial functions ax, a t 0, whose graphs pass through the origin 18. The set of all first-degree polynomial functions ax + b a, b 0, whose graphs do not pass through the origin 19. The set of all polynomials of degree four or less
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Home » Mathematics » Testing for a Vector Space In Exercises 13-36, determine whether the set, together with the standard operations, is a vector space. If it is not, identify at least one of the ten vector space axioms that fails. 13. M, 4.6 14. M, 15.