Metadata
Mathematics Undergraduate Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    diagonalization, eigenvalues, algebraic multiplicity, geometric multiplicity, eigenvectors, 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 students' ability to determine whether an n×n matrix (over R or C) is diagonalizable by computing eigenvalues, comparing algebraic and geometric multiplicities, finding bases of eigenvectors, constructing an explicit diagonalizing matrix P and diagonal D when possible, and explaining defective cases where diagonalization fails.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.