Determine whether the set, together with the indicated operations, is a vector space. if it is not, identify at least one of the tenvector space axioms that fails. show step by step.
1) m₁,₁ with the standard operations
2) the set of all fifth-degree polynomials with the standard operations
3) the set of all first-degree polynomial functions ax+b, a ≠ 0 whose graphs pass through the origin withthe standard operations