SlideShare a Scribd company logo
1 of 12
Unit-1
Cayley-Hamilton Theorem
Presented by
Sivanesan G,
Assistant professor,
Department of Mathematics,
Government college of Engineering Salem-11
Characteristic equation
Prerequisite:
Matrix
To Find square and cube of a Matrix
Youtube channel: livemathematica
Link:https://youtu.be/R2mrTvLFJ4s
To find determinant value of the matrix
Youtube channel: The calculator King
Link:https://youtu.be/KLFwbl9VZSM
Practice problem
Check the Answer
Cayley -Hamilton Theorem
Every Square Matrix Satisfies its own Characteristic Equation
Problem
Thank you

More Related Content

What's hot

Quantum mechanics a brief
Quantum mechanics a briefQuantum mechanics a brief
Quantum mechanics a brief
Chaitanya Areti
 
Quantum Mechanics: Lecture notes
Quantum Mechanics: Lecture notesQuantum Mechanics: Lecture notes
Quantum Mechanics: Lecture notes
polariton
 
Eigen values and eigen vectors
Eigen values and eigen vectorsEigen values and eigen vectors
Eigen values and eigen vectors
Riddhi Patel
 
Basic Electrical Engineering- AC Circuit
Basic Electrical Engineering- AC CircuitBasic Electrical Engineering- AC Circuit
Basic Electrical Engineering- AC Circuit
Bhavesh jesadia
 

What's hot (20)

Laplace transform
Laplace  transform   Laplace  transform
Laplace transform
 
Eigen values and eigen vectors
Eigen values and eigen vectorsEigen values and eigen vectors
Eigen values and eigen vectors
 
Eigenvalues and Eigenvectors
Eigenvalues and EigenvectorsEigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
 
Quantum mechanics a brief
Quantum mechanics a briefQuantum mechanics a brief
Quantum mechanics a brief
 
Quantum Mechanics: Lecture notes
Quantum Mechanics: Lecture notesQuantum Mechanics: Lecture notes
Quantum Mechanics: Lecture notes
 
Matrices And Application Of Matrices
Matrices And Application Of MatricesMatrices And Application Of Matrices
Matrices And Application Of Matrices
 
Eigenvalues and eigenvectors
Eigenvalues and eigenvectorsEigenvalues and eigenvectors
Eigenvalues and eigenvectors
 
Eigen values and eigen vectors
Eigen values and eigen vectorsEigen values and eigen vectors
Eigen values and eigen vectors
 
Maths-->>Eigenvalues and eigenvectors
Maths-->>Eigenvalues and eigenvectorsMaths-->>Eigenvalues and eigenvectors
Maths-->>Eigenvalues and eigenvectors
 
Applications of Matrices in Engineering
Applications of Matrices in EngineeringApplications of Matrices in Engineering
Applications of Matrices in Engineering
 
Applications of vector space ksks
Applications of vector space ksksApplications of vector space ksks
Applications of vector space ksks
 
Taylor series
Taylor seriesTaylor series
Taylor series
 
BASICS OF MATRICES WITH APPLICATION IN ENGINEERING
BASICS OF MATRICES WITH APPLICATION IN ENGINEERINGBASICS OF MATRICES WITH APPLICATION IN ENGINEERING
BASICS OF MATRICES WITH APPLICATION IN ENGINEERING
 
Introduction quantum mechanics (chemistry)
Introduction quantum mechanics (chemistry)Introduction quantum mechanics (chemistry)
Introduction quantum mechanics (chemistry)
 
Three phase ac circuit
Three phase ac circuitThree phase ac circuit
Three phase ac circuit
 
Matrix Algebra seminar ppt
Matrix Algebra seminar pptMatrix Algebra seminar ppt
Matrix Algebra seminar ppt
 
Matrices in computer applications
Matrices in computer applicationsMatrices in computer applications
Matrices in computer applications
 
Basic Electrical Engineering- AC Circuit
Basic Electrical Engineering- AC CircuitBasic Electrical Engineering- AC Circuit
Basic Electrical Engineering- AC Circuit
 
Basic and fundamental of quantum mechanics (Theory)
Basic and fundamental of quantum mechanics (Theory)Basic and fundamental of quantum mechanics (Theory)
Basic and fundamental of quantum mechanics (Theory)
 
SCHRODINGER EQUATION
SCHRODINGER EQUATION SCHRODINGER EQUATION
SCHRODINGER EQUATION
 

Recently uploaded

Online crime reporting system project.pdf
Online crime reporting system project.pdfOnline crime reporting system project.pdf
Online crime reporting system project.pdf
Kamal Acharya
 
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Lovely Professional University
 
Microkernel in Operating System | Operating System
Microkernel in Operating System | Operating SystemMicrokernel in Operating System | Operating System
Microkernel in Operating System | Operating System
Sampad Kar
 
Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...
Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...
Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...
drjose256
 

Recently uploaded (20)

Operating System chapter 9 (Virtual Memory)
Operating System chapter 9 (Virtual Memory)Operating System chapter 9 (Virtual Memory)
Operating System chapter 9 (Virtual Memory)
 
5G and 6G refer to generations of mobile network technology, each representin...
5G and 6G refer to generations of mobile network technology, each representin...5G and 6G refer to generations of mobile network technology, each representin...
5G and 6G refer to generations of mobile network technology, each representin...
 
How to Design and spec harmonic filter.pdf
How to Design and spec harmonic filter.pdfHow to Design and spec harmonic filter.pdf
How to Design and spec harmonic filter.pdf
 
Lesson no16 application of Induction Generator in Wind.ppsx
Lesson no16 application of Induction Generator in Wind.ppsxLesson no16 application of Induction Generator in Wind.ppsx
Lesson no16 application of Induction Generator in Wind.ppsx
 
Introduction to Arduino Programming: Features of Arduino
Introduction to Arduino Programming: Features of ArduinoIntroduction to Arduino Programming: Features of Arduino
Introduction to Arduino Programming: Features of Arduino
 
Online crime reporting system project.pdf
Online crime reporting system project.pdfOnline crime reporting system project.pdf
Online crime reporting system project.pdf
 
Introduction to Artificial Intelligence and History of AI
Introduction to Artificial Intelligence and History of AIIntroduction to Artificial Intelligence and History of AI
Introduction to Artificial Intelligence and History of AI
 
Insurance management system project report.pdf
Insurance management system project report.pdfInsurance management system project report.pdf
Insurance management system project report.pdf
 
Intelligent Agents, A discovery on How A Rational Agent Acts
Intelligent Agents, A discovery on How A Rational Agent ActsIntelligent Agents, A discovery on How A Rational Agent Acts
Intelligent Agents, A discovery on How A Rational Agent Acts
 
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
 
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
 
Interfacing Analog to Digital Data Converters ee3404.pdf
Interfacing Analog to Digital Data Converters ee3404.pdfInterfacing Analog to Digital Data Converters ee3404.pdf
Interfacing Analog to Digital Data Converters ee3404.pdf
 
Diploma Engineering Drawing Qp-2024 Ece .pdf
Diploma Engineering Drawing Qp-2024 Ece .pdfDiploma Engineering Drawing Qp-2024 Ece .pdf
Diploma Engineering Drawing Qp-2024 Ece .pdf
 
Microkernel in Operating System | Operating System
Microkernel in Operating System | Operating SystemMicrokernel in Operating System | Operating System
Microkernel in Operating System | Operating System
 
Low rpm Generator for efficient energy harnessing from a two stage wind turbine
Low rpm Generator for efficient energy harnessing from a two stage wind turbineLow rpm Generator for efficient energy harnessing from a two stage wind turbine
Low rpm Generator for efficient energy harnessing from a two stage wind turbine
 
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
 
Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...
Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...
Tembisa Central Terminating Pills +27838792658 PHOMOLONG Top Abortion Pills F...
 
Module-III Varried Flow.pptx GVF Definition, Water Surface Profile Dynamic Eq...
Module-III Varried Flow.pptx GVF Definition, Water Surface Profile Dynamic Eq...Module-III Varried Flow.pptx GVF Definition, Water Surface Profile Dynamic Eq...
Module-III Varried Flow.pptx GVF Definition, Water Surface Profile Dynamic Eq...
 
Electrical shop management system project report.pdf
Electrical shop management system project report.pdfElectrical shop management system project report.pdf
Electrical shop management system project report.pdf
 
Raashid final report on Embedded Systems
Raashid final report on Embedded SystemsRaashid final report on Embedded Systems
Raashid final report on Embedded Systems
 

Unit 1 cayley-hamilton theorem lecture 1