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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