| Preface Chapter1 Deterninants 1.1 Determinants of Order 2 and 3 1.2 Determinants of Order n l.2.1 Inversion and Odevity of Permutation 1.2.2 The Definition of Determinant of Order n 1.3 Properties of Determinant 1.4 Expansion in Row (Column) 1.5 Gramer's Rule Exercise 1 General Exercise 1 Chapter2 Matrices 2.1 The Definition of Matrix 2.2 The Linear Transformation, Product, and Transpose of Matrices 2.2.l Addition of Matrices 2.2.2 Scalar multiplication of matrices 2.2.3 Multiplication of matrices 2.2.4 The Transpose of a Matrix and Symmetric Matrices 2.2.5 Determinants of Square Matrices 2.3 Inverses 2.3.1 The Definition of Inverse 2.3.2 Necessary and Sufficient Conditions on Which a Matrix Is Invertible 9.3.3 Properties of Invertible Matrices 2.3.4 Use Inverses to Solve Systems of Linear Equations 2.4 Partitioned Matrices 2.4.1 The Definition of Partitioned Matrix 2.4.2 Operations of Partitioned Matrices 2.4.3 Partitioned Diagonal Matrices and Partitioned Triangular Matrice 2.5 Elementary Operations and Elementary matrices 2.5.1 Elementary Operations …… Chapter3 Systems of Linear Equations Chapter4 Similar Matrices Chapter5 Quadratic Forms Answers Bibliography |
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