Metadata
Mathematics Undergraduate Remember Easy
Metadata
  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Remember

  • Difficulty estimate

    Easy

  • Tags

    vector space, axioms, examples, R^n, polynomials, subspaces

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Test students' recall of the definition and standard axioms of a vector space over a field (closure, associativity, commutativity of addition, additive identity and inverses, distributivity, scalar identity, and compatibility), the role of the zero vector and additive inverse, and recognition of basic examples and non-examples such as R^n, polynomial spaces, and simple sets that fail an axiom. Scope: introductory undergraduate linear algebra; tasks include listing axioms, verifying whether a given set with specified operations is a vector space, and naming common examples.
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.