Lectures related to What is a (sub)manifold

Explores linear independence in vector spaces and the concept of bases.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Explores basic functions and criteria in quadrangular finite elements using the finite element method.

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

Explores how submanifolds can be deformed into linear patches using diffeomorphisms and the inverse function theorem.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers linear systems, vector subspaces, and the kernel and image of linear applications.