Lectures related to Linear Equations: Solutions and Operations

Explores the Eigen library for linear algebra, covering vectors, matrices, arrays, memory management, reshaping, and per-component operations.

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

Explores properties and interpretations of vectors in space, including mixed product and linear dependence.

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

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Covers the approximation of a system of differential equations using a method based on time intervals.

Covers the definition and solution of linear equations with real coefficients in 2D and 3D space.

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