Metadata
Mathematics Adult Learning Understand Medium
Metadata
  • Subject

    Mathematics

  • Education level

    Adult Learning

  • Cognitive goals

    Understand

  • Difficulty estimate

    Medium

  • Tags

    eigenvalues, eigenvectors, linear transformations, 2x2 matrices, geometric interpretation

  • Number of questions

    5

  • Created on

  • Generation source

  • License

    CC0 Public domain

  • Prompt

    Assess learners' understanding of the geometric meaning of eigenvalues and eigenvectors for real 2×2 linear transformations. Scope: compute eigenvalues/eigenvectors, identify invariant lines and scaling directions, interpret real versus complex eigenvalues (stretches, reflections, rotations, shears), relate eigenvalues to trace and determinant, and sketch or describe the image of the unit circle under the transformation.
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.