Lectures related to Bijectivity Criterion

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Introduces the kernel of a linear application and its properties.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Emphasizes the importance of using orthogonal bases in linear algebra for representing linear transformations.

Covers matrices, linear applications, vector spaces, and bijective functions.

Discusses linear applications between vector spaces and properties of endomorphisms and automorphisms.

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

Covers the extraction of bases from families of vectors and the concept of coordinate application in vector spaces.