Linear Algebra: Operations and Applications

Related lectures (25)

Page 2 of 3

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

Explores linear algebra basics, emphasizing matrix representations of transformations and the importance of choosing appropriate bases.

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

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

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

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

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

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Covers matrix operations, coefficients, combinations, and applications in various scenarios.