Learning Linear Algebra with MATLAB
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Description
Book Introduction
A book on linear algebra that provides a balanced understanding of theory and practice.
Mathematics, natural sciences, engineering, economics, social sciences, big data, artificial intelligence, etc.
Linear algebra has wide applications in almost every field!
With the current academic trend emphasizing engineering practice and practicality, it has become important to practice various linear algebra theories using MATLAB.
Therefore, in line with these changing times, we present the 2nd edition of 『Learn Linear Algebra with MATLAB』.
This book will help you learn a balanced mix of theory and practice, and further develop your application skills in a variety of fields.
※ This book was developed as a textbook for university lectures, so it does not provide solutions to practice problems.
Mathematics, natural sciences, engineering, economics, social sciences, big data, artificial intelligence, etc.
Linear algebra has wide applications in almost every field!
With the current academic trend emphasizing engineering practice and practicality, it has become important to practice various linear algebra theories using MATLAB.
Therefore, in line with these changing times, we present the 2nd edition of 『Learn Linear Algebra with MATLAB』.
This book will help you learn a balanced mix of theory and practice, and further develop your application skills in a variety of fields.
※ This book was developed as a textbook for university lectures, so it does not provide solutions to practice problems.
- You can preview some of the book's contents.
Preview
index
Chapter 01 Systems of Linear Equations
1.1 Systems of linear equations
1.2 Solving simultaneous linear equations
1.3 Gaussian elimination
1.4 Homogeneous linear equations
1.5 Application of simultaneous linear equations
MATLAB commands
Practice problems
Chapter 02 Matrix
2.1 Matrices and Matrix Operations
2.2 Matrix multiplication
2.3 Inverse matrix
2.4 Special matrices
2.5 LU-decomposition
2.6 Using matrices
MATLAB commands
Practice problems
Chapter 03 Determinant
3.1 Definition of determinant
3.2 Properties of determinants
3.3 Adjoint matrix and Cramer's formula
3.4 Application of determinants
MATLAB commands
Practice problems
Chapter 04 n-dimensional real vectors
4.1 Definition of a vector
4.2 Inner product
4.3 External product
4.4 n-dimensional vector
4.5 Utilization of Vectors
MATLAB commands
Practice problems
Chapter 05 Vector Space
5.1 Vector spaces and subspaces
5.2 Primary Independence and Primary Dependence
5.3 Basis and Dimension
5.4 Row space and column space of a matrix
5.5 Changes to the base
5.6 Orthogonalization process
5.7 Application of vector space
MATLAB commands
Practice problems
Chapter 06 Linear Transformation
6.1 Linear transformations and matrices
6.2 Geometric properties of linear operators
6.3 Properties of linear transformations
6.4 Matrix of linear transformation
6.5 Wireframes and Linear Transformations
MATLAB commands
Practice problems
Chapter 07 Eigenvalues and Eigenvectors
7.1 Eigenvalues and Eigenvectors
7.2 Diagonalization of matrices
7.3 Diagonalization of symmetric matrices
7.4 Using Eigenvalues and Eigenvectors
MATLAB commands
Practice problems
Chapter 08 Complex Vector Space
8.1 Complex numbers
8.2 Various representations of complex numbers
8.3 Complex vector space and complex inner product space
8.4 Hermitian and unitary matrices
8.5 Applications of Complex Numbers
MATLAB commands
Practice problems
Appendix MATLAB Basics
1.1 Systems of linear equations
1.2 Solving simultaneous linear equations
1.3 Gaussian elimination
1.4 Homogeneous linear equations
1.5 Application of simultaneous linear equations
MATLAB commands
Practice problems
Chapter 02 Matrix
2.1 Matrices and Matrix Operations
2.2 Matrix multiplication
2.3 Inverse matrix
2.4 Special matrices
2.5 LU-decomposition
2.6 Using matrices
MATLAB commands
Practice problems
Chapter 03 Determinant
3.1 Definition of determinant
3.2 Properties of determinants
3.3 Adjoint matrix and Cramer's formula
3.4 Application of determinants
MATLAB commands
Practice problems
Chapter 04 n-dimensional real vectors
4.1 Definition of a vector
4.2 Inner product
4.3 External product
4.4 n-dimensional vector
4.5 Utilization of Vectors
MATLAB commands
Practice problems
Chapter 05 Vector Space
5.1 Vector spaces and subspaces
5.2 Primary Independence and Primary Dependence
5.3 Basis and Dimension
5.4 Row space and column space of a matrix
5.5 Changes to the base
5.6 Orthogonalization process
5.7 Application of vector space
MATLAB commands
Practice problems
Chapter 06 Linear Transformation
6.1 Linear transformations and matrices
6.2 Geometric properties of linear operators
6.3 Properties of linear transformations
6.4 Matrix of linear transformation
6.5 Wireframes and Linear Transformations
MATLAB commands
Practice problems
Chapter 07 Eigenvalues and Eigenvectors
7.1 Eigenvalues and Eigenvectors
7.2 Diagonalization of matrices
7.3 Diagonalization of symmetric matrices
7.4 Using Eigenvalues and Eigenvectors
MATLAB commands
Practice problems
Chapter 08 Complex Vector Space
8.1 Complex numbers
8.2 Various representations of complex numbers
8.3 Complex vector space and complex inner product space
8.4 Hermitian and unitary matrices
8.5 Applications of Complex Numbers
MATLAB commands
Practice problems
Appendix MATLAB Basics
Detailed image
Publisher's Review
A recommended book for those who want to grasp linear algebra theory and easily solve complex calculation problems.
"Learn Linear Algebra with MATLAB (2nd Edition)" is a book for students who want to properly understand and utilize the basics of linear algebra.
The linear algebra theory is solid and includes a variety of annotations, so you can learn without much difficulty.
You can also easily solve even the most complex computational problems by following the MATLAB code included in the examples and checking the output.
"Learn Linear Algebra with MATLAB (2nd Edition)" is a book for students who want to properly understand and utilize the basics of linear algebra.
The linear algebra theory is solid and includes a variety of annotations, so you can learn without much difficulty.
You can also easily solve even the most complex computational problems by following the MATLAB code included in the examples and checking the output.
GOODS SPECIFICS
- Date of issue: February 26, 2024
- Page count, weight, size: 548 pages | 188*257*21mm
- ISBN13: 9791156640257
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