Metadata
Mathematics Adult Learning Understand Medium-
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.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.