Metadata
Mathematics Undergraduate Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    diagonalizability, Jordan form, eigenvalues, algebraic multiplicity, geometric multiplicity

  • Number of questions

    5

  • Created on

  • Generation source

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to determine diagonalizability of 3×3 real matrices by computing eigenvalues, algebraic and geometric multiplicities; classify all possible Jordan canonical forms (over C and the corresponding real block forms when complex pairs occur); construct representative Jordan matrices and similarity bases for repeated- and defective-eigenvalue cases; and relate minimal polynomials to block structure.
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Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.