Eigenvalues and Eigenvectors

Prerequisites for Eigen values & vectors
Types of Matrices
3 Topics
Types of Matrices – Part 1
Types of Matrices – Part 2
Types of Matrices – Part 3
Understanding Determinant
2 Topics
Determinent of a 3X3 matrix
Determinent of a 4X4 matrix
Vector Algebra for Matrix Multiplication
2 Topics
Dot and Cross Product – Part 1
Dot and Cross Product – Part 2
Graphical Perspection of a Determinant – Part 1
1 Topic
Perspective – 1
Graphical Perspection of a Determinant – Part 2
1 Topic
Perspective – 2
Inverse of a Matrix
5 Topics
Introduction – 2X2 – Matrix
Example – 2X2 – Matrix
General procedure and Incidental facts – 3X3 Matrix
Observations
Applications
Matrix-Vector Multiplication
5 Topics
Introduction – Perspective 1 – Linear Algebra
Introduction – Perspective 2 – Linear Algebra
Quiz 1
Quiz 2
Quiz 3
Matrix-Matrix Multiplication – Part 1
2 Topics
Introduction – Perspective – Linear Algebra
Introduction – Alternate Method
Matrix-Matrix Multiplication – Part 2
1 Topic
Quiz 1
Matrix-Matrix Multiplication – Part 3
4 Topics
Quiz 2
Quiz 3
Quiz 4
Quiz 5
Eigen values & vectors
Introduction to Eigenvalues and Eigenvectors
3 Topics
Introduction
Graphical Understanding of Eigenvalues and Eigenvectors
Understanding Eigen values – 2×2 matrix
Eigenvalues and Eigenvectors – Part 1
4 Topics
Eigen values – Observations
Eigen values – Example
Deriving Eigen vectors – 2×2 matrix
Eigen vectors – Observations
Eigenvalues and Eigenvectors – Part 2
1 Topic
Deriving Eigen value and vectors – 3×3 matrix
Eigenvalues and Eigenvectors – Part 3
4 Topics
Rayleigh’s Power Method – (Conceptual Understanding)
Rayleigh’s Power Method – Problems: (Problem 1)
Rayleigh’s Power Method – Problems: (Problem 2)
Rayleigh’s Power Method – (Conceptual Understanding of Rate of Convergence)
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Understanding Eigen values – 2×2 matrix

Eigenvalues and Eigenvectors Introduction to Eigenvalues and Eigenvectors Understanding Eigen values – 2×2 matrix
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