Location:
United States
Description:
This audiobook is narrated by a digital voice. Linear Algebra: Determinants and Eigenvalues is a comprehensive guide designed for absolute beginners, offering a clear and detailed introduction to the fundamental concepts of linear algebra. Focusing on determinants and eigenvalues, the book explores their definitions, properties, and practical applications. Through step-by-step explanations, numerous examples, and practical exercises, readers will build a solid foundation in these essential topics. This book is ideal for students and enthusiasts eager to understand the basics of linear algebra and its significance in various fields such as engineering, physics, computer science, and economics. Duration - 3h 37m. Author - N.B. Singh. Narrator - Digital Voice Mary G. Published Date - Monday, 20 January 2025. Copyright - © 2024 N.B. Singh ©.
Language:
English
Preface
Duración:00:02:15
Introduction to Determinants
Duración:00:01:16
Definition of Determinant
Duración:00:04:10
2x2 and 3x3 Determinants
Duración:00:04:44
Properties of Determinants
Duración:00:05:24
Expansion Methods
Duración:00:05:25
Cramer’s Rule
Duración:00:04:27
Volume and Area Interpretations
Duración:00:06:09
Applications in Geometry
Duración:00:08:11
Determinants of Special Matrices
Duración:00:08:34
Multiplicative Property
Duración:00:09:18
Transpose and Inverse
Duración:00:06:18
Determinants and Eigenvalues
Duración:00:04:54
Applications in Linear Systems
Duración:00:05:28
Applications in Change of Variables
Duración:00:03:57
Computational Aspects
Duración:00:04:06
Calculation Methods for Determinants
Duración:00:01:15
Expansion by Cofactors
Duración:00:03:43
Row Reduction and Determinants
Duración:00:03:28
Block Matrices and Determinants
Duración:00:03:47
Eigenvalue Approach to Determinants
Duración:00:03:23
Determinantal Identities
Duración:00:03:59
Applications in Matrix Theory
Duración:00:04:30
Applications in Differential Equations
Duración:00:04:34
Applications of Determinants
Duración:00:01:09
Area and Volume Calculations
Duración:00:04:24
Orientation and Orientation Preserving Maps
Duración:00:04:17
Cramer’s Rule and Linear Systems
Duración:00:02:58
Determinants in Physics
Duración:00:03:39
Determinants in Economics
Duración:00:03:31
Determinants in Computer Graphics
Duración:00:04:09
Determinants in Circuit Analysis
Duración:00:04:18
Introduction to Eigenvalues
Duración:00:01:09
Definition of Eigenvalues and Eigenvectors
Duración:00:04:29
Characteristic Polynomial
Duración:00:02:58
Eigenvalues of Special Matrices
Duración:00:03:52
Geometric Interpretation
Duración:00:02:46
Algebraic and Geometric Multiplicity
Duración:00:03:09
Eigenvalue Decomposition
Duración:00:03:13
Properties of Eigenvalues and Eigenvectors
Duración:00:01:17
Diagonalizability
Duración:00:03:14
Spectral Theorem
Duración:00:04:09
Eigenvalues in Matrix Powers
Duración:00:04:15
Principal Component Analysis (PCA)
Duración:00:03:53
Jordan Canonical Form
Duración:00:03:12
Computational Aspects of Eigenvectors
Duración:00:03:23
Applications in Quantum Mechanics
Duración:00:03:43
Applications of Eigenvalues and Eigenvectors
Duración:00:01:13
Eigenvalues in Stability Analysis
Duración:00:03:01
Eigenvalues in Markov Chains
Duración:00:02:42
Eigenvalues in Google’s PageRank Algorithm
Duración:00:03:05
Eigenvalues in Vibrations and Oscillations
Duración:00:03:26
Eigenvalues in Graph Theory
Duración:00:03:16
Applications in Control Theory
Duración:00:03:14
Future Directions and Open Problems
Duración:00:03:48