Lecture

Diagonalization Theory

Description

This lecture introduces the concept of diagonalization in linear algebra, focusing on the conditions for a matrix to be diagonalizable and the process of finding the diagonal matrix. It covers the definition of diagonalizability, the existence of eigenbases, and the proof of diagonalizability. The lecture also discusses examples of diagonalizable and non-diagonalizable matrices, illustrating the process of diagonalization step by step.

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