SKKU 선형대수학 Jordan 표준형, SGLee

SKKU 선형대수학 Jordan 표준형, SGLee

Example of Jordan Canonical Form: Real 4x4 Matrix with Basis 1

Matrix Theory: Find a matrix P that puts the real 4x4 matrix A = [2 0 0 0 \\ 0 2 1 0 \\ 0 0 2 0 \\ 1 0 0 2 ] in Jordan Canonical Form. We show how to find a basis that gives P. The Jordan form has 2 Jordan blocks of size 2.

Jordan Normal Form - Part 1 - Overview

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This video is about the Jordan normal form, which is a matrix decomposition for square matrices. I show the idea and the algorithm with the help of an example. In further videos, I explain the details.

00:00 Introduction
00:57 Definition "diagonalisable"
03:50 Example
05:35 Jordan blocks
07:00 Jordan boxes
11:49 Recipe

I hope that this helps students, pupils and others. Have fun!

#LinearAlgebra

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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