Lectures related to Finite Element Method: Stiffness Matrix and Basis Functions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Explores the properties and convergence of the matrix exponential for linear systems.

Introduces the Jacobi method for solving linear systems and determining convergence.

Explores the properties of simple roots and reflections in Coxeter groups, emphasizing uniqueness and linear independence.

Covers tips on matrix construction and function manipulation using MATLAB.

Explores linear systems solutions, including independence of vectors and unique solution conditions.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.