Lecture

Jordan decomposition

Description

This lecture covers the Jordan decomposition theorem in linear algebra, which states that every matrix can be uniquely decomposed into a sum of a diagonalizable matrix and a nilpotent matrix. The instructor explains how to write a matrix in this form and provides examples of the decomposition process. The lecture also discusses the properties of diagonalizable and nilpotent matrices, along with their implications in matrix operations and calculations.

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