Elementary linear algebra
著者
書誌事項
Elementary linear algebra
Alpha Science Internatinoal, c2006
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注記
Includes index
内容説明・目次
内容説明
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.
目次
System of Linear Equations - Solution by Graphs and Elementary Row Operations / Row Reduced Echelon Form / Consistency of the Linear System / Inverse of a Matrix / Exercise Set I / Vector Spaces - Vector spaces / Subspace / Linear Dependence and Independence / Basis and Dimension / Exercise Set 2 / 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 3 / Eigenvalues and Eigenvectors - Eigenvalues and Eigenvectors Diagonalization of a Matrix / Diagonalization of Symmetric Matrices / Quadratic Forms / Exercise Set 4 / Inner Product - Inner Product / Orthogonality / Gram-Schmidt Orthgonalization / Inner Product Spaces / Exercise Set 5
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