A Formula Handbook of Linear Algebra
N.B. Singh
This audiobook is narrated by a digital voice.
"A Formula Handbook of Linear Algebra" is a comprehensive yet accessible guide designed for absolute beginners with no prior mathematical background. This book serves as a gentle introduction to the fundamental concepts of linear algebra, providing clear explanations and practical examples to aid in understanding. From basic operations and concepts to more advanced topics such as matrix factorizations and eigenvalue problems, each concept is presented in a concise and easy-to-follow manner. With a focus on clarity and simplicity, this handbook aims to empower readers to grasp the essentials of linear algebra and lay a solid foundation for further exploration in the field. Whether you're a student, professional, or enthusiast, this book is an invaluable resource for building a strong understanding of linear algebra concepts and applications.
Duration - 1h 28m.
Author - N.B. Singh.
Narrator - Digital Voice Mary G.
Published Date - Monday, 20 January 2025.
Copyright - © 2024 N.B. Singh ©.
Location:
United States
Description:
This audiobook is narrated by a digital voice. "A Formula Handbook of Linear Algebra" is a comprehensive yet accessible guide designed for absolute beginners with no prior mathematical background. This book serves as a gentle introduction to the fundamental concepts of linear algebra, providing clear explanations and practical examples to aid in understanding. From basic operations and concepts to more advanced topics such as matrix factorizations and eigenvalue problems, each concept is presented in a concise and easy-to-follow manner. With a focus on clarity and simplicity, this handbook aims to empower readers to grasp the essentials of linear algebra and lay a solid foundation for further exploration in the field. Whether you're a student, professional, or enthusiast, this book is an invaluable resource for building a strong understanding of linear algebra concepts and applications. Duration - 1h 28m. Author - N.B. Singh. Narrator - Digital Voice Mary G. Published Date - Monday, 20 January 2025. Copyright - © 2024 N.B. Singh ©.
Language:
English
Preface
Duration:00:02:23
Introduction
Duration:00:00:03
Overview of Linear Algebra
Duration:00:02:58
Historical Development
Duration:00:03:08
Importance in Various Fields
Duration:00:02:17
Basic Concepts
Duration:00:00:03
Vectors and Scalars
Duration:00:02:58
Matrices and Determinants
Duration:00:02:57
Systems of Linear Equations
Duration:00:00:04
Linear Systems and Solutions
Duration:00:03:03
Matrix Representation
Duration:00:02:36
Gaussian Elimination
Duration:00:03:25
Matrix Inversion
Duration:00:02:49
Applications
Duration:00:03:28
Vector Spaces
Duration:00:00:03
Definition and Properties
Duration:00:02:09
Subspaces
Duration:00:02:19
Linear Independence
Duration:00:01:53
Basis and Dimension
Duration:00:02:09
Coordinate Systems
Duration:00:01:41
Linear Transformations
Duration:00:00:03
Introduction to Linear Transformations
Duration:00:01:52
Matrix Representations
Duration:00:01:43
Eigenvalues and Eigenvectors
Duration:00:02:12
Diagonalization
Duration:00:02:37
Applications in Geometry
Duration:00:02:59
Matrix Operations
Duration:00:00:03
Addition and Subtraction
Duration:00:02:24
Scalar Multiplication
Duration:00:01:58
Matrix Multiplication
Duration:00:02:06
Transpose and Inverse
Duration:00:01:31
Rank and Nullity
Duration:00:01:27
Eigenvalue Problems
Duration:00:00:03
Characteristics of Eigenvalues
Duration:00:01:43
Spectral Theorem
Duration:00:01:16
Applications in Physics
Duration:00:00:57
Advanced Topics
Duration:00:00:03
Singular Value Decomposition
Duration:00:01:28
Positive Definite Matrices
Duration:00:01:51
Matrix Norms
Duration:00:02:05
Applications in Machine Learning
Duration:00:02:11
Numerical Linear Algebra
Duration:00:02:58
Review of Mathematical Concepts
Duration:00:00:04
Fundamental Concepts in Algebra
Duration:00:01:43
Review of Calculus
Duration:00:01:55
Review of Probability
Duration:00:02:39
Review of Statistics
Duration:00:02:24