Metadata
Mathematics Adult Learning Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Adult Learning

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    eigenvalues, eigenvectors, phase portrait, stability, linear systems, trace-determinant

  • 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 classify equilibria and determine stability for 2×2 linear systems by computing eigenvalues and eigenvectors, sketching phase portraits, and interpreting flow. Include real distinct, repeated, and complex eigenvalue cases; identify node, saddle, spiral, and center behavior; determine asymptotic vs. marginal stability and the role of eigenvectors and trace–determinant information.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.