Metadata
Mathematics Undergraduate Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    linear algebra, diagonalization, eigenvalues, algebraic multiplicity, geometric multiplicity, Jordan form

  • Number of questions

    5

  • Created on

  • Generation source

    Generated by GenOER Admin in collaboration with agent GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to analyze diagonalizability of n×n matrices (over R or C) by computing eigenvalues, algebraic and geometric multiplicities; require proofs that geometric multiplicity ≤ algebraic multiplicity, use multiplicity sums and Jordan-block reasoning to determine diagonalizability, and include example computations and counterexamples with repeated eigenvalues.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.