Representation Parametric: Cartesian

This lecture covers the concept of parametric representation in mathematics, focusing on the transition to Cartesian representation. It explains how vectors can be expressed in terms of parameters and then converted into Cartesian coordinates. The instructor demonstrates the process step by step, showing how to determine the coordinates of vectors in a given base. The lecture also delves into the importance of linear independence and bases in vector spaces, providing examples to illustrate the concepts. Additionally, it discusses the application of linear transformations and the formation of a basis for linear maps. The lecture concludes with theorems and propositions related to linear applications and their bases.