Lectures related to Advanced Physics I: Mathematical Concepts

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

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

Covers fundamental matrix operations and their applications in solving linear equations.

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Covers linear algebra in three dimensions, focusing on matrices and determinants.

Covers the basics of linear algebra, focusing on matrices and operations.

Covers the definition and examples of vector spaces, including subspaces and linear transformations.