Diagonalization Course
This course builds strong skills in diagonalization via practical exercises on eigenvalues, eigenspaces, multiplicities, and stability analysis. You'll compute matrix powers M^k swiftly, understand system dynamics, tackle complex eigenvalues, and choose between diagonalization or Jordan form for practical applications in real systems.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain mastery in eigenvalues, eigenvectors, and diagonalization through this focused course for quick results. You'll calculate characteristic polynomials, construct eigenspaces, assess algebraic and geometric multiplicities, and determine diagonalization success. Learn to build P matrices, compute powers efficiently, analyse stability, and manage complex eigenvalues using solid methods.
Elevify advantages
Develop skills
- Master eigenvalues by computing characteristic polynomials and algebraic multiplicities.
- Construct eigenspaces quickly with eigenvectors, bases, and geometric multiplicities.
- Check diagonalizability using clear criteria for real and complex numbers.
- Diagonalise matrices by building P, D, and calculating high powers M^k effectively.
- Examine system dynamics through eigenvalues and blocks for stability and rotations.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
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