Lectures related to Operations with Linear Applications

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

Covers the concept of orthogonal complement and projection in vector spaces.

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.

Explains kernel, image, and linear maps, illustrating concepts with examples.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Explores normal equations, pseudo-solutions, unique solutions, and symmetric matrices in linear algebra.

Covers linear applications between vector spaces, exploring their properties and uniqueness based on bases.

Introduces orthogonal matrices, the least squares method, and their practical applications in linear algebra.