Metadata
Mathematics Undergraduate Understand Easy
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Understand

  • Difficulty estimate

    Easy

  • Tags

    eigenvalues, eigenvectors, linear transformations, geometric interpretation, R^n, eigenspace

  • 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' understanding of the definitions of eigenvalues and eigenvectors for matrices and linear transformations in R^n, basic methods to compute them for simple 2x2/3x3 examples, and the geometric interpretation (scaling of invariant lines/planes, eigenspaces, and the connection to diagonalization and multiplicity) at an introductory undergraduate level.
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100
Attempts
100
Average Score
100%

Mock data used for demo purposes.