Linear Applications: Image and Rank

This lecture covers linear applications in 3D space, focusing on the image and rank of a linear transformation matrix. The instructor explains how to determine the image of a function and its elements, providing definitions and propositions to understand the concept. The lecture also delves into the rank of a function, showcasing examples and proofs to illustrate the dimensionality of the image. Through detailed explanations and graphical representations, students learn how to analyze linear transformations and their properties in 3D space.