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Eigenvalues and Eigenvectors

149.00

Validity: 45 days | Duration: 7hrs 28mins

Get a solid understanding of Eigenvalues and Eigenvectors with this comprehensive mini-course designed specifically for Indian Engineering students. Boost your math skills now!

This module introduces eigen values and vectors analytically and graphically with engineering relevance. Rayleighâ€™s power method is discussed in detail with merits and demerits. Significant number of model questions paper problems have been solved to give a comprehensive understanding of the examinerâ€™s perspective.

Salient features of this module are:

• Pre-requisites to Fundamental Matrix Theory
• Graphical visualization
• Concept testing
• Unravelling examiners mind
• Model question paper

Course Contents:Â

Pre-requisites to Matrix Algebra and Rank

• Types of Matrices
• Types of Matrices – Part 1
• Types of Matrices – Part 2
• Types of Matrices – Part 3
• Understanding Determinant
• Determinant of a 3×3 matrix
• Determinant of a 4×4 matrix
• Vector Algebra for Matrix Multiplication
• Dot and Cross Product – Part 1
• Dot and Cross Product – Part 2
• Graphical Perspection of a Determinant
• Perspective – 1
• Perspective – 2
• Inverse of a Matrixe
• Introduction – 2X2 – Matrix
• Example – 2X2 – Matrix
• General procedure and Incidental facts – 3X3 Matrix
• Observations
• Applications
• Matrix-Vector Multiplication
• Introduction – Perspective 1 – Linear Algebra
• Introduction – Perspective 2 – Linear Algebra
• Quiz 1
• Quiz 2
• Quiz 3
• Matrix-Matrix Multiplication
• Introduction – Perspective – Linear Algebra
• Introduction – Alternate Method
• Quiz 1
• Quiz 2
• Quiz 3
• Quiz 4
• Quiz 5

Eigenvalues and Eigenvectors

• Introduction
• Graphical Understanding of Eigenvalues and Eigenvectors
• Understanding Eigen values – 2×2 matrix
• Eigen values – Observations
• Eigen values – Example
• Deriving Eigen vectors – 2×2 matrix
• Eigen vectors – Observations
• Deriving Eigen value and vectors – 3×3 matrix
• 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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