Jordan Canonical form|
Автор: MeeraMaths
Загружено: 2024-01-11
Просмотров: 1301
Описание:
0:00 Intro
0:08 definition of Jordan canonical form
0:30 definition of Jordan block
0:52 Example for 3 by 3 Jordan block
1:17 Example for 2 by 2 and 1 by 1 Jordan block
2:12 Example problem 1
6:26 Example problem 2
12:36 Example problem 3
Title: Finding the Jordan Canonical Form of a Matrix
Description:
Learn how to find the Jordan canonical form (JCF) of a matrix in this video. We'll cover the process of finding the JCF, including eigenvalues, eigenvectors, generalized eigenvectors, and Jordan blocks.
Key concepts:
Jordan canonical form (JCF)
Eigenvalues and eigenvectors
Generalized eigenvectors
Jordan blocks
Steps:
1. Find the eigenvalues of A
2. Find the eigenvectors and generalized eigenvectors
3. Determine the Jordan block structure
4. Construct the JCF matrix J
#jordanforms
#linearalgebra
#canonical
#canonicalforms
#jordancanonicalform
#matrices
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