Elementary Linear Algebra （2ND）

Prasad, Devi

Alpha Science International Ltd（2012/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 198 p.
• 言語 ENG
• 商品コード 9781842654002
• DDC分類 512.5

Full Description

This book ELEMENTARY LINEAR ALGEBRA is a well-organized, lucidly written text introducing the reader to system of equations, vector spaces, linear transformations, eigen values and eigen vectors. In addition, the book presents the subject in a simple manner for easy understanding. A large number of illustrated examples are covered to clarify the theoretical concepts with many unsolved problems for practice to enhance the presentation of the material. The book is suitable for undergraduate students of science and engineering.

Contents

Preface to the Second Edition / Preface to the First Edition / Matrices and Algebraic Structure: Definition / Addition and Multiplication of Matrices / Transpose of a Matrix / Matrices of Complex Numbers / Groups / Rings / Field / Exercise Set 1 / System of Linear Equations - Solution by Graphs and Elementary Row Operations / Row Reduced Echelon Form / Consistency of the Linear System / Non-sigular Matrices and Determinant Values / Inverse of a Matrix / Exercise Set 2 / Vector Spaces - Vector spaces / Subspace / Linear Dependence and Independence / Basis and Dimension / Exercise Set 3 / Linear Transformations - Linear Transformations / Null and Range Spaces / Inverse Linear Transformation / More About Linear Transformations / Matrices Related to Linear Transformations / Rank of Matrix / Exercise Set 4 / Eigenvalues and Eigenvectors - Eigenvalues and Eigenvectors / Gershgorin Circle Theorem / Diagonalization of a Matrix / Diagonalization of Symmetric Matrices/ Quadratic Forms / Exercise Set 5 / Inner Product - Inner Product / Orthogonality / Gram-Schmidt Orthogonalization / Inner Product Spaces / Exercise Set 6 / Index.