Metadata
Mathematics Undergraduate Understand Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Understand

  • Difficulty estimate

    Medium

  • Tags

    eigenvalues, eigenvectors, algebraic multiplicity, geometric multiplicity, diagonalizability, linear algebra

  • Number of questions

    5

  • Created on

  • Generation source

  • License

    CC0 Public domain

  • Prompt

    Assess undergraduate students' ability to compute eigenvalues and eigenvectors for 2x2 and 3x3 matrices, determine algebraic and geometric multiplicities, decide whether a matrix is diagonalizable, and explain the relationship between multiplicities and diagonalizability with brief justifications or counterexamples.
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Attempts
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Average Score
100%

Mock data used for demo purposes.