Lectures related to Matrix Representation of Operators and Basis Transformation

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Explains orthogonal families, bases, and projections in vector spaces.

Explores the adjoint of linear operators on inner product spaces, including self-adjoint, unitary, and normal operators.

Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.