Lectures related to Linear Transformations: Matrices and Applications

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

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

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