Galerkin Method: Applications and Formulation

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Explores systems of equations, vector operations, and geometric interpretations in linear algebra.

Explores operations and applications of linear algebra in solving equations and transformations.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Introduces linear combinations of vectors in R^n and their properties.

Explores linear dependence in matrices, systems of equations, unique solutions, derivatives, and integrals of quadratic functions.

Explores linear dependence and independence of vectors in geometric spaces.

Explores linear combinations, matrix-vector product, and matrix equation solutions.

Covers exercises on matrices, vectors, and linear systems.