Minimal Polynomials and Diagonal Form

preview_player
Показать описание
Matrix Theory: Using minimal polynomials, we characterize matrices that can be put into diagonal form. That is, there exists a basis of eigenvectors for A iff the minimal polynomial factors into distinct linear factors. As an application, we show that any matrix that satisfies A^m=I (m positive) is diagonalizable over the complex numbers.
  1. MathDoctorBob
  2. Mathematics
  3. matrix
  4. theory
  5. linear
  6. algebra
Рекомендации по теме
Minimal Polynomials and 0:16:56

Minimal Polynomials and Diagonal Form

Minimal Polynomial of 0:06:33

Minimal Polynomial of Block diagonal Matrix| Characteristic polynomial |Linear Algebra|Mathematics

Université de Paris 0:02:55

Université de Paris gre math jordan canonical form minimal polynomial

Example of Minimal 0:06:07

Example of Minimal Polynomial

Lecture 29 : 0:31:00

Lecture 29 : Minimal Polynomial and Jordan Canonical Form-I

The Minimal Polynomial 0:15:35

The Minimal Polynomial

Lecture 30 : 0:25:58

Lecture 30 : Minimal Polynomial and Jordan Canonical Form-II

Linear Algebra: 036 1:01:56

Linear Algebra: 036 The Minimal Polynomial

Introduction to algebraic 2:42:45

Introduction to algebraic number theory. Class 3. V. Zhgun

MINIMAL POLYNOMIAL EXAMPLES 0:05:18

MINIMAL POLYNOMIAL EXAMPLES | PROBLEM -1

Linear Algebra | 0:58:42

Linear Algebra | Minimal Polynomial and Diagonalizability in One Shot by GP Sir

minimal polynomial linear 0:08:47

minimal polynomial linear algebra tifr 2018 geometric multiplicity

Johns Hopkins University 0:03:23

Johns Hopkins University gre math minimal polynomial jordan canonical form linear algebra

Linear Algebra : 0:14:16

Linear Algebra : Minimal Polynomial Part-I

Linear Algebra: 041 0:47:30

Linear Algebra: 041 When the Minimal Polynomial Does Not Split

Minimal polynomial for 0:09:38

Minimal polynomial for diagonalisable transformation

Minimal polynomial of 0:07:25

Minimal polynomial of block diagonal matrix

Relationship between Characteristic 0:15:01

Relationship between Characteristic Polynomial & Minimal Polynomial | Diagonalizability

Characteristic Polynomial Of 0:06:14

Characteristic Polynomial Of A Matrix In 10 Seconds | Matrices 4x4 & 5x5 @gajendrapurohit

Minimal Polynomial and 0:31:00

Minimal Polynomial and Jordan Canonical Form-I

How to find 0:09:48

How to find the minimal polynomial of matrix| Example| Linear Algebra

Overview of Minimal 0:16:42

Overview of Minimal Polynomials

Linear Algebra: 039 0:41:45

Linear Algebra: 039 Schur's Theorem When the Minimal Polynomial Splits

Minimal polynomials 0:14:52

Minimal polynomials

Комментарии
Автор

I've seen this on PhD quals. It's on the cusp of advanced undergrad and graduate study. - Bob

MathDoctorBob
Автор

Do, you have cours of cayley-hamilton 2D      thanks  Doctor Bob

chinounahmed
Автор

Hi I have following your videos from your website under 'Matrix Theory'. While I understand what you are explaining I feel I need to practice these ideas in order to cement them in my memory. Do you have any recommendations on what to read in order to get a fuller understanding? I.e. a book?

hssidhu