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Chapter 1 MATRICES AND SYSTEMS OF EQUATIONS

Section 1.1: Linear Equations Solver
Section 1.1: Systems Of Linear Equations
Section 1.2: A Downloadable Gauss-Jordan Elimination Program
Section 1.2: Dot Product And Cross Product - Java Applet
Section 1.3: Dot Product And Cross Product
Section 1.3: The Transpose
Section 1.4: LU Decomposition

Chapter 2 DETERMINANTS

Section 2.1: Matrices And Determinants History
Section 2.1: Transformations
Section 2.2: Vector Spaces
Section 2.2: Determinant Properties

Chapter 3 VECTOR SPACES

Section 3.1: Vector Spaces
Section 3.2: Subspaces
Section 3.3: Declaration Of Linear Independence

Chapter 4 LINEAR TRANSFORMATIONS

Section 4.1: Kernels And Ranges Of Linear Transformations
Section 4.1: Transformations
Section 4.2: Matrix Multiplication From A Geometric Viewpoint
Section 4.3: Similarity Of Two Matrices

Chapter 5 ORTHOGANALITY

Section 5.3: Properties Of Inner Product Spaces
Section 5.4: Least-Squares Fit

Chapter 6 EIGENVALUES

Section 6.1: Eigenvalues And Eigenvectors
Section 6.1: Eigenvalues And Eigenvectors Technique
Section 6.3: Exercises in Markov Chains
Section 6.6: Eigenvalues Of A Sequence Of Matrices

Chapter 7 NUMERICAL LINEAR ALGEBRA

Section 7.1: Computer Exercises For Linear Algebra Section 7.2:Gaussian Elimination
Section 7.4: Error Bounds For Solving Ax=b

 
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