Metadata
Mathematics Undergraduate Understand Medium
View More
Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Understand

  • Difficulty estimate

    Medium

  • Tags

    eigenvalues, eigenvectors, diagonalizability, eigenspaces, 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' understanding of the geometric meaning of eigenvalues and eigenvectors (invariant directions, scaling factors, and eigenspaces), the relationship between algebraic and geometric multiplicity, and the criteria for diagonalizability; include short conceptual explanations and 2x2 or 3x3 computations to test reasoning and verification skills.
Use
Remix
Export
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.