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This module contains all the M-Files from the text. The files are contained within a single .zip archive. Use a utility such as Aladdin Expander to decompress each file.

M-Files

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Select a section: Section 1.1: Linear Systems Section 1.2: Matrices Section 1.3: Dot Product and Matrix Multiplication Section 1.4: Properties of Matrix Operations Section 1.5: Solutions of Linear Systems of Equations Section 1.6: The Inverse of a Matrix Section 1.7: LU-Factorization Section 2.1: Graph Theory Section 2.2: Electrical Circuits Section 2.3: Markov Chains Section 2.4: Linear Economic Models Section 2.5: Introduction to Wavelets Section 3.1: Definition and Properties of Determinants Section 3.2: Cofactor Expansion and Applications Section 3.3: Determinants from a Computational Point of View Section 4.1: Vectors in the Plane Section 4.2: n-Vectors Section 4.3: Introduction to Linear Transformations Section 5.1: Computer Graphics Section 5.2: Cross Product in R3 Section 5.3: Lines and Planes Section 6.1: Vector Spaces Section 6.2: Subspaces Section 6.3: Linear Independence Section 6.4: Basis and Dimension Section 6.5: Homogeneous Systems Section 6.6: The Rank of a Matrix and Applications Section 6.7: Coordinates and Change of Basis Section 6.8: Orthonormal Bases in Rn Section 6.9: Orthogonal Complements Section 7.1: QR-Factorization Section 7.2: Least Squares Section 8.1: Eigenvalues and Eigenvectors Section 8.2: Diagonalization Section 8.3: Diagonalization of Symmetric Matrices Section 9.1: The Fibonacci Sequence Section 9.2: Differential Equations Section 9.3: Dynamical Systems Section 9.4: Quadratic Forms Section 9.5: Conic Sections Section 9.6: Quadric Surfaces Section 10.1: Definition and Examples of Linear Transformations and Matrices Section 10.2: The Kernel and Range of a Linear Transformation Section 10.3: The Matrix of a Linear Transformation Section 10.4: Introduction to Fractals Section 11.1: The Linear Programming Problem: Geometric Solution Section 11.2: The Simplex Method Section 11.3: Duality Section 11.4: The Theory of Games