Linear Algebra

Foreword(Originally in Chinese)
Preface(for the English Translation edition)
A Note from the Translator
Explanation for the Special Notational Device
Chapter 0 Integers,Number Fields and Polynomials
Part 1 General Theory of Systems of Linear Equations Introduction
Chapter 1 Algebra of Matrices
Chapter 2 The Determinant Method for a Special Class of Lin-ear Equations(Cramer's Rule)
Chapter 3 General Theory of Systems of Linear Equations
Chapter 4 Linear Spaces and Systmes of Linear Equations
Chapter 5 Symmetric Bilinear Metric Spaces and Systems of Linear Equations
Part 2 The Principal Axes Problem of Real Quadratic Forms
Chapter 6 Linear Transformations on Linear Spaces
Chapter 7 A Class of Direct Sum Decompositions of Linear Spaces Relative to Linear Transformations
Chapter 8 Two Classes of Linear Transformations on Euclidean Spaces and the Principal Axes Problem of Quadr-atic Forms
Chapter 9 Further Development——Similarity Canonical Forms of Matrices
Bibliography
Index