Basic Linear Algebra
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Description
Book Introduction
The principles of mathematics are as simple as dominoes.
Just like dominoes, where the first piece falls and the next piece falls in turn, in math, too, you can naturally understand the larger concepts only after learning the smaller concepts one by one.
Don't overthink math; just get started! With "Introductory Linear Algebra," you'll have a solid foundation in math.
Just like dominoes, where the first piece falls and the next piece falls in turn, in math, too, you can naturally understand the larger concepts only after learning the smaller concepts one by one.
Don't overthink math; just get started! With "Introductory Linear Algebra," you'll have a solid foundation in math.
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index
Chapter 01 Systems of Linear Equations and Matrices
1.1 Systems of linear equations and augmented matrices
1.2 Gaussian elimination
1.3 Matrices and basic matrix operations
1.4 Properties of matrix operations
1.5 Solving simultaneous linear equations using elementary matrices
1.6 Solving simultaneous linear equations using inverse matrices
1.7 Special matrices
1.8 Applications of simultaneous linear equations
Chapter 02 Determinant
2.1 Definition and properties of determinants
2.2 Feminine expansion and Cramer's formula
2.3 Applications of determinants
Chapter 03 Vectors of R^n
3.1 Definition of a vector
3.2 Dot product of vectors
3.3 Cross product of vectors
3.4 n-dimensional vector
3.5 Applications of Vectors
Chapter 04 Vector Space
4.1 Vector spaces and subspaces
4.2 Primary Independence and Primary Dependence
4.3 Basis and dimension of subspaces
4.4 Matrix coefficients
4.5 Coordinate Vectors and Transition Matrices
4.6 Gram-Schmidt orthonormalization process
4.7 Applications of Vector Spaces
Chapter 05 Linear Transformation
5.1 Linear transformations and matrices
5.2 Geometric properties of linear operators
5.3 Properties of linear transformations
5.4 Linear isometric mapping
5.5 Composition and inverse transformation of linear transformations
5.6 Similarity of matrices
5.7 Applications of linear transformations
Chapter 06 Eigenvalues and Eigenvectors
6.1 Eigenvalues and Eigenvectors
6.2 Diagonalization of matrices
6.3 Symmetric matrices and orthogonal diagonalization
6.4 Singular value decomposition
6.5 Applications of Eigenvalues and Eigenvectors
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1.1 Systems of linear equations and augmented matrices
1.2 Gaussian elimination
1.3 Matrices and basic matrix operations
1.4 Properties of matrix operations
1.5 Solving simultaneous linear equations using elementary matrices
1.6 Solving simultaneous linear equations using inverse matrices
1.7 Special matrices
1.8 Applications of simultaneous linear equations
Chapter 02 Determinant
2.1 Definition and properties of determinants
2.2 Feminine expansion and Cramer's formula
2.3 Applications of determinants
Chapter 03 Vectors of R^n
3.1 Definition of a vector
3.2 Dot product of vectors
3.3 Cross product of vectors
3.4 n-dimensional vector
3.5 Applications of Vectors
Chapter 04 Vector Space
4.1 Vector spaces and subspaces
4.2 Primary Independence and Primary Dependence
4.3 Basis and dimension of subspaces
4.4 Matrix coefficients
4.5 Coordinate Vectors and Transition Matrices
4.6 Gram-Schmidt orthonormalization process
4.7 Applications of Vector Spaces
Chapter 05 Linear Transformation
5.1 Linear transformations and matrices
5.2 Geometric properties of linear operators
5.3 Properties of linear transformations
5.4 Linear isometric mapping
5.5 Composition and inverse transformation of linear transformations
5.6 Similarity of matrices
5.7 Applications of linear transformations
Chapter 06 Eigenvalues and Eigenvectors
6.1 Eigenvalues and Eigenvectors
6.2 Diagonalization of matrices
6.3 Symmetric matrices and orthogonal diagonalization
6.4 Singular value decomposition
6.5 Applications of Eigenvalues and Eigenvectors
Search
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GOODS SPECIFICS
- Date of issue: June 7, 2021
- Page count, weight, size: 440 pages | 188*257*30mm
- ISBN13: 9791156645399
- ISBN10: 1156645395
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