Lecture

Geometric Transformations in R2 and R3

Description

This lecture covers geometric transformations in R2 and R3, including linear transformations, projections, and matrices. It explores the concepts of linear transformations, projections, matrix representations, and properties of projections. The lecture also delves into the trace of linear transformations and matrices, as well as specific cases such as when a transformation is a projection or when the trace is zero. Examples and proofs are provided to illustrate the theoretical concepts discussed.

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