Metadata
Mathematics Undergraduate Apply Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Apply

  • Difficulty estimate

    Medium

  • Tags

    eigenvalues, eigenvectors, linear ODEs, stability, phase portrait, dynamical systems

  • 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 students' ability to compute eigenvalues and eigenvectors of 2x2 and 3x3 constant-coefficient matrices, construct general solutions of linear systems of ODEs (including distinct real, repeated, and complex conjugate eigenvalue cases), solve initial-value problems, and classify equilibrium stability and phase-portrait type using eigenvalue real parts and eigenvectors.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.