Linear Systems in 2D: Stability

Related lectures (29)

Page 3 of 3

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.

Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.

Covers the diagonalization of matrices using eigenvectors and eigenvalues.

Explores eigenvalues, matrix trace, and similarity, highlighting their significance in matrix properties.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.