Matrix analysis applied linear algebra

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Matrix analysis  applied linear algebra

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Mục lục

  • Matrix Analysis & Applied Linear Algebra

    • Table of Contents

    • 1.2 Gaussian Elimination & Matrices

      • Solutions for exercises

      • 1.3 Gauss-Jordan Method

        • Solutions for exercises

        • 1.4 Two-Point Boundary Value Problems

          • Solutions for exercises

          • 1.5 Making Gaussian Elimination Work

            • Solutions for exercises

            • 1.6 Ill-Conditioned Systems

              • Solutions for exercises

              • Chapter 2 Rectangular Systems and Echelon Forms

                • 2.1 Row Echelon Form & Rank

                  • Solutions for exercises

                  • 2.2 Reduced Row Echelon Form

                    • Solutions for exercises

                    • 2.3 Consistency of Linear Systems

                      • Solutions for exercises

                      • 2.4 Homogeneous Systems

                        • Solutions for exercises

                        • 2.5 Nonhomogeneous Systems

                          • Solutions for exercises

                          • 2.6 Electrical Circuits

                            • Solutions for exercises

                            • Chapter 3 Matrix Algebra

                              • 3.1 From Ancient China to Arthur Cayley

                              • 3.2 Addition & Transposition

                                • Solutions for exercises

                                • 3.4 Why do it This Way

                                  • Solutions for exercises

                                  • 3.5 Matrix Multiplication

                                    • Solutions for exercises

                                    • 3.6 Properties of Matrix Multiplication

                                      • Solutions for exercises

                                      • 3.7 Matrix Inversion

                                        • Solutions for exercises

                                        • 3.8 Inverses of Sums & Sensitivity

                                          • Solutions for exercises

                                          • 3.9 Elementary Matrices & Equivalence

                                            • Solutions for exercises

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