目录 Chapter 1 Systems of Linear Equations and Elementary Operations on Matrices 1.1Systems of Linear Equations 1.2Elementary Operations on Matrices Exercises 1.2 Chapter 2 Determinants 2.1The Determinant of a Matrix Exercises 2.126 2.2Properties of Determinants26 Exercises 2.2 2.3The Cofactor Expansion of a Determinant Exercises 2.3 2.4Cramer’s Rule Exercises 2.4 Chapter 3 Matrices Algebra 3.1Matrices Arithmetic Exercise 3.1 3.2Special Matrices Exercises 3.2 3.3The Inverse of a Exercises 3.3 3.4Partitioned Matrices Exercises 3.4 3.5Elementary Matrices Exercises 3.5 3.6The Rank of a Matrix Exercises 3.6 Chapter 4 Structure of Solutions for Systems of Linear Equations 4.1Existence and Uniqueness of Solutions Exercises 4.1 4.2Vectors and Operations on Vectors Exercises 4.2 4.3Linear Relation Among Vectors Exercises 4.3 4.4Rank of a Vector Set Exercises 4.4 4.5Structure of Solutions for Systems of Linear Equations Exercises 4.5 4.6Vector Spaces* Exercises 4.6 Chapter 5 Similar Matrices and Quadratic Forms 5.1Eigenvalues and Eigenvectors Exercises 5.1 5.2Similar Matrices Exercises 5.2 5.3Diagonalization of Symmetric Matrices Exercises 5.3 5.4Quadratic Forms* Exercises 5.4 Answers to Exercises References
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