Metadata
Mathematics Undergraduate Remember Easy-
Subject
Mathematics
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Education level
Undergraduate
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Cognitive goals
Remember
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Difficulty estimate
Easy
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Tags
vector space, axioms, examples, R^n, polynomials, subspaces
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Number of questions
5
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Created on
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Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
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License
CC0 Public domain
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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.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.