Diagonalization Course
This course delivers hands-on mastery of matrix diagonalization, covering eigenvalues, eigenspaces, multiplicity comparisons, and stability analysis. Students learn efficient computation of matrix powers M^k, handling of complex eigenvalues, and selection between diagonalization and Jordan forms for practical applications in dynamic systems.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain expertise in eigenvalues, eigenvectors, and diagonalization techniques. Compute characteristic polynomials, develop eigenspaces, assess algebraic versus geometric multiplicity, and determine diagonalization feasibility. Master construction of P matrices, rapid matrix powering, stability evaluation, and complex eigenvalue management with precise methods.
Elevify advantages
Develop skills
- Compute eigenvalues using characteristic polynomials and algebraic multiplicities.
- Construct eigenspaces with eigenvectors, bases, and geometric multiplicities.
- Evaluate diagonalizability criteria over real and complex numbers.
- Build P and D matrices to diagonalize and compute powers M^k efficiently.
- Interpret system dynamics through eigenvalues for stability analysis.
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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