Linear Applications: Matrices and Transformations

This lecture covers the concepts of linear applications, matrices, injectivity, surjectivity, and the standard matrix of a linear application. It explains the standard matrix of a linear application, dilations, symmetries, transvections, and the multiplication of matrices. The lecture also delves into the properties of matrix multiplication, such as associativity, distributivity, and the unit element. It concludes with examples illustrating the concepts discussed.