Metadata
Mathematics Undergraduate Understand Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Understand

  • Difficulty estimate

    Medium

  • Tags

    linear algebra, diagonalization, eigenvalues, eigenvectors, multiplicity, matrix powers

  • 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 undergraduate students' ability to compute eigenvalues and eigenvectors, compare algebraic and geometric multiplicities, decide whether a given matrix is diagonalizable over R or C, construct a diagonalizing basis and similarity P^{-1}DP when possible, and apply diagonalization to compute matrix powers or exponentials; include calculation, short justification, and interpretation of defective cases.
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Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.