Metadata
Mathematics Undergraduate Apply Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Apply

  • Difficulty estimate

    Medium

  • Tags

    eigenvalues, eigenvectors, stability analysis, matrix exponential, diagonalization, linear 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 apply eigenvalues and eigenvectors to analyze and solve linear dynamical systems: find eigenpairs, classify equilibria (stable/unstable/center), diagonalize or use Jordan forms, compute matrix exponentials, and obtain explicit solutions for continuous- and discrete-time systems (examples in 2×2 and 3×3 cases).
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.