Diagonalization Course
This course provides hands-on training in diagonalization, covering eigenvalues, eigenspaces, multiplicities, and system stability. Learners will efficiently compute high powers of matrices like M^k, analyse dynamic behaviour, manage complex eigenvalues, and choose between diagonalization and Jordan forms for practical applications in real-world scenarios.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain expertise in eigenvalues, eigenvectors, and matrix diagonalization through this concise course for quick learning. You will calculate characteristic polynomials, determine eigenspaces, evaluate algebraic and geometric multiplicities, and identify conditions for successful diagonalization. Master building transformation matrices P, efficient matrix powering, stability analysis, and techniques for complex eigenvalues with precise methods.
Elevify advantages
Develop skills
- Master eigenvalues by computing characteristic polynomials and algebraic multiplicities.
- Construct eigenspaces quickly by finding eigenvectors, bases, and geometric multiplicities.
- Check diagonalizability using exact criteria for real and complex number fields.
- Diagonalise matrices by forming P and D, and calculate matrix powers M^k effectively.
- Examine system dynamics using eigenvalues and Jordan blocks to evaluate 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 workload.What our students say
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