Book description
Linear Algebra, 2nd Edition
Table of contents
- Cover
- Copyright
- Contents
- Preface
- Preface to the Second Edition
- A Note to Students
- List of Symbols
-
Matrices
- 1.1INTRODUCTION
- 1.2BASIC CONCEPTS
- 1.3 MATRIX OPERATIONS AND THEIR PROPERTIES (1/3)
- 1.3 MATRIX OPERATIONS AND THEIR PROPERTIES (2/3)
- 1.3 MATRIX OPERATIONS AND THEIR PROPERTIES (3/3)
- 1.4 INVERTIBLE MATRICES
- 1.5 TRANSPOSE OF A MATRIX
- 1.6 PARTITION OF MATRICES; BLOCK MULTIPLICATION (1/2)
- 1.6 PARTITION OF MATRICES; BLOCK MULTIPLICATION (2/2)
- 1.7 GROUPS AND FIELDS
-
Systems of LinearEquations
- 2.1 INTRODUCTION
- 2.2 GAUSSIAN ELIMINATION
- 2.3 ELEMENTARY ROW OPERATIONS (1/2)
- 2.3 ELEMENTARY ROW OPERATIONS (2/2)
- 2.4 ROW REDUCTION (1/3)
- 2.4 ROW REDUCTION (2/3)
- 2.4 ROW REDUCTION (3/3)
- 2.5 INVERTIBLE MATRICES AGAIN
- 2.6 LU FACTORIZATION (1/3)
- 2.6 LU FACTORIZATION (2/3)
- 2.6 LU FACTORIZATION (3/3)
- 2.7 DETERMINANT (1/4)
- 2.7 DETERMINANT (2/4)
- 2.7 DETERMINANT (3/4)
- 2.7 DETERMINANT (4/4)
-
Vector Spaces
- 3.1 INTRODUCTION
- 3.2 BASIC CONCEPTS (1/3)
- 3.2 BASIC CONCEPTS (2/3)
- 3.2 BASIC CONCEPTS (3/3)
- 3.3 LINEAR INDEPENDENCE (1/2)
- 3.3 LINEAR INDEPENDENCE (2/2)
- 3.4 BASIS AND DIMENSION (1/3)
- 3.4 BASIS AND DIMENSION (2/3)
- 3.4 BASIS AND DIMENSION (3/3)
- 3.5 SUBSPACES AGAIN
- 3.6 RANK OF A MATRIX
- 3.7 ORTHOGONALITY IN Rn (1/3)
- 3.7 ORTHOGONALITY IN Rn (2/3)
- 3.7 ORTHOGONALITY IN Rn (3/3)
- 3.8 BASES OF SUBSPACES (1/2)
- 3.8 BASES OF SUBSPACES (2/2)
- 3.9 QUOTIENT SPACE (1/2)
- 3.9 QUOTIENT SPACE (2/2)
-
Linear Mapsand Matrices
- 4.1 INTRODUCTION
- 4.2 BASIC CONCEPTS
- 4.3 ALGEBRA OF LINEAR MAPS (1/3)
- 4.3 ALGEBRA OF LINEAR MAPS (2/3)
- 4.3 ALGEBRA OF LINEAR MAPS (3/3)
- 4.4 ISOMORPHISM (1/2)
- 4.4 ISOMORPHISM (2/2)
- 4.5 MATRICES OF LINEAR MAPS (1/4)
- 4.5 MATRICES OF LINEAR MAPS (2/4)
- 4.5 MATRICES OF LINEAR MAPS (3/4)
- 4.5 MATRICES OF LINEAR MAPS (4/4)
-
Linear Operators
- 5.1 INTRODUCTION
- 5.2 POLYNOMIALS OVER FIELDS
- 5.3 CHARACTERISTIC POLYNOMIALS AND EIGENVALUES (1/6)
- 5.3 CHARACTERISTIC POLYNOMIALS AND EIGENVALUES (2/6)
- 5.3 CHARACTERISTIC POLYNOMIALS AND EIGENVALUES (3/6)
- 5.3 CHARACTERISTIC POLYNOMIALS AND EIGENVALUES (4/6)
- 5.3 CHARACTERISTIC POLYNOMIALS AND EIGENVALUES (5/6)
- 5.3 CHARACTERISTIC POLYNOMIALS AND EIGENVALUES (6/6)
- 5.4 MINIMAL POLYNOMIAL (1/3)
- 5.4 MINIMAL POLYNOMIAL (2/3)
- 5.4 MINIMAL POLYNOMIAL (3/3)
- 5.5 INVARIANT SUBSPACES (1/3)
- 5.5 INVARIANT SUBSPACES (2/3)
- 5.5 INVARIANT SUBSPACES (3/3)
- 5.6 SOME BASIC RESULTS (1/3)
- 5.6 SOME BASIC RESULTS (2/3)
- 5.6 SOME BASIC RESULTS (3/3)
- 5.7 REAL QUADRATIC FORMS (1/3)
- 5.7 REAL QUADRATIC FORMS (2/3)
- 5.7 REAL QUADRATIC FORMS (3/3)
- Canonical Forms
- Bilinear Forms
-
Inner Product Spaces
- 8.1 INTRODUCTION
- 8.2 HERMITIAN FORMS
- 8.3 INNER PRODUCT SPACE
- 8.4 GRAM–SCHMIDT ORTHOGONALIZATION PROCESS (1/3)
- 8.4 GRAM–SCHMIDT ORTHOGONALIZATION PROCESS (2/3)
- 8.4 GRAM–SCHMIDT ORTHOGONALIZATION PROCESS (3/3)
- 8.5 ADJOINTS (1/2)
- 8.5 ADJOINTS (2/2)
- 8.6 UNITARY AND ORTHOGONAL OPERATORS (1/2)
- 8.6 UNITARY AND ORTHOGONAL OPERATORS (2/2)
- 8.7 NORMAL OPERATORS (1/3)
- 8.7 NORMAL OPERATORS (2/3)
- 8.7 NORMAL OPERATORS (3/3)
- Bibliography
- Index
- Blank Page
Product information
- Title: Linear Algebra, 2nd Edition
- Author(s):
- Release date: April 2024
- Publisher(s): Pearson India
- ISBN: 9781322225364
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