Metadata
Mathematics Adult Learning Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Adult Learning

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    dynamical systems, eigenvalues, eigenvectors, phase portraits, stability, linear algebra

  • 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

    Assess learners' ability to analyze 2×2 linear dynamical systems by computing eigenvalues and eigenvectors, classifying equilibrium types (node, saddle, spiral, center; stable/unstable), using trace–determinant relationships, sketching phase portraits and trajectory directions, and handling repeated or non-diagonalizable cases; excludes nonlinear systems.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.