MathematicsCoreMTH-LINALG-162
Eigenvalues & Eigenvectors
characteristic polynomial, eigenspaces, diagonalization
- Difficulty
- 3 / 5
- Importance
- 5 / 5
- Study time
- 3–6 h
- Kind of work
- Mixed
Why it matters
Central to dynamical systems, quantum mechanics, PCA, PageRank and stability analysis.
Where it is used
Stability of mechanical systems, PCA in data science, energy levels in QM, Google's PageRank.
How you know you have learned it
Complete 3 independent examples correctly + explain common failure modes.
Resources
- Linear Algebra Done Right — Sheldon Axler Book
- Linear Algebra Done Right — Sheldon Axler Book
- Introduction to Linear Algebra — Gilbert Strang Book