Lectures related to Isomaphic Entue: Base Canonique and Free K-Modulus

Explains coordinate application in vector spaces and the uniqueness of vector components in different bases.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers bijective linear maps, invertibility of matrices, isomorphisms, and the rank theorem.

Introduces vector spaces, linear applications, generators, and dimensionality in mathematics.

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

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Covers dimension theorems for linear transformations, bijectivity, isomorphism, dual spaces, and canonical applications.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.