3 Review(s)

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. New to The Second Edition: Chapter on: Matrices and Group, Rings and Field Section on: Non-singular Matrices and Determinant Values. Row Reduction Method of Linear Dependence and Independence. Kayley Hamilton Theorem of Eigenvalues and Eigenvectors. Table of 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.