Eigenvalues and Stability: 2 by 2 Matrix, A

preview_player
Показать описание
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
Instructor: Gilbert Strang

Two equations with a constant matrix are stable (solutions approach zero) when the trace is negative and the determinant is positive.

License: Creative Commons BY-NC-SA
  1. MIT OpenCourseWare
  2. eigenvalue
  3. stability
  4. 2 x 2 matrix
  5. graphical methods
  6. numerical methods
Рекомендации по теме
Eigenvalues and Stability: 0:19:30

Eigenvalues and Stability: 2 by 2 Matrix, A

Stability and Eigenvalues: 0:14:53

Stability and Eigenvalues: What does it mean to be a 'stable' eigenvalue?

Eigenvectors and eigenvalues 0:17:16

Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

Intro to Control 0:04:34

Intro to Control - 8.2 State-Space Eigenvalues and Stability

Eigen values and 0:02:55

Eigen values and Eigen vectors in 3 mins | Explained with an interesting analogy

Summary of Stability 0:06:09

Summary of Stability and Eigenvalues

Lecture 8: Eigen 0:11:07

Lecture 8: Eigen values and stability analysis II Vali Shaik

Stability and Eigenvalues 0:19:30

Stability and Eigenvalues [Control Bootcamp]

What eigenvalues and 0:09:09

What eigenvalues and eigenvectors mean geometrically

Stability Analysis in 0:34:32

Stability Analysis in State Space: Concept of Eigenvalues and Eigenvectors (Part-I)

REVISION FOR TYPES 0:19:36

REVISION FOR TYPES OF STABILITY: Eigenvectors and Eigenvalues

Eigen values and 0:15:03

Eigen values and Eigen vectors | 2 x 2 matrix | Problem Solved | Mathspedia |

Eigenvalues and Eigenvectors 0:20:05

Eigenvalues and Eigenvectors in Stability of 2-norm|Lecture 11|| English Subtitles

The Hartman-Grobman Theorem, 0:17:36

The Hartman-Grobman Theorem, Structural Stability of Linearization, and Stable/Unstable Manifolds

Eigenvalues and Eigenvectors 0:33:57

Eigenvalues and Eigenvectors

Lecture 2.11. The 0:05:35

Lecture 2.11. The tie between stability and eigenvalues

EX: Stability of 0:05:31

EX: Stability of a linear map with two identical eigenvalues

How to analyze 0:07:49

How to analyze the zero stability of an ODE solver using eigenvalues

Motivating Eigenvalues and 0:23:58

Motivating Eigenvalues and Eigenvectors with Differential Equations

Eigenvectors and eigenvalues 0:11:40

Eigenvectors and eigenvalues - simply explained

Repeated Eigenvalues and 0:12:39

Repeated Eigenvalues and Secular Terms: Transient Growth in Non-Normal Systems

So What Is 0:19:52

So What Is A Mode Shape Anyway? - The Eigenvalue Problem

30 Eigen Values 0:08:50

30 Eigen Values and Eigen Vectors of Matrix | Control System

CS540 Lecture 2 0:02:22

CS540 Lecture 2 Computing Eigenvalues of Hessian Example

Комментарии
Автор

This video is the level of instructional video that all math videos on youtube should strive to achieve

noah-
Автор

This is probably the best lecture anyone can be in . Thank you .

farbodghanonui
Автор

Gilbert Strang is The One. The master of the Matrix.

ksbalaji
Автор

How smooth his explanations...crystal clear! Thanks!

diegolainfiesta
Автор

That you MIT for this mathematical giant. Dr. Strang you are the best.

georgesadler
Автор

What beautiful explanation! Thanks, professor.

Kanidrum
Автор

This is gold. Thank you professor! Thank you MIT

eloymarquez
Автор

ok, now my mind blew when the laplace transformation met eigenvalues.

rafaelsouza
Автор

shouldn't the solution go to 0 if it passes the stabiility test? I am talking about the saying in the very last second.

jonathansum
Автор

question!
in a det
ad-cb
^^^^
this shouldnt be zero
or it should be zero
if we have a solution?
I thought a matrix has a solution if the det is not zero

davidflores
Автор

المزيد من التمارين على استقرار المعادلات التفاضلية والترجمة بالعربية

سلمىالترهوني-يق
Автор

thank you father of stability i exactly understand the concept

mgambowaghetohayupo
Автор

to check the stability i have only to look trace and detremine

ahmedismail