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Linear algebra with mathematica7/8/2023 Each section concludes with standard problems in addition to problems that were specifically designed to be solved with Mathematica, allowing readers to test their comprehension of the presented material. Mathematica is used to enhance concepts and is seamlessly integrated throughout the book through symbolic manipulations, numerical computations, graphics in two and three dimensions, animations, and programming. Subsequent chapters feature coverage of linear transformations from Rn to Rm, the geometry of linear and affine transformations, with an exploration of their effect on arclength, area, and volume, least squares fits, and pseudoinverses. Basic linear algebra topics, such as vectors, dot product, cross product, and vector projection are explored, as well as a unique variety of more advanced topics including rotations in space, 'rolling' a circle along a curve, and the TNB Frame. Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. The book begins with an introduction to the commands and programming guidelines for working with Mathematica. Principles of Linear Algebra with MathematicaĪn Introduction to Mathematica | Linear Systems of Equations and Matrices | Gauss-Jordan Elimination and Reduced Row Echelon Form | Applications of Linear Systems and Matrices | Determinants, Inverses, and Cramer's Rule | Basic Vector Algebra Topics | A Few Advanced Vector Algebra Topics | Independence, Basis, and Dimension for Subspaces of ℝn | Linear Maps from ℝn to ℝm | The Geometry of Linear and Affine Maps | Least-Squares Fits and Pseudoinverses | Eigenvalues and EigenvectorsĪ hands-on introduction to the theoretical and computational aspects of linear algebra using Mathematica. Finance, Statistics & Business Analysisįor the newest resources, visit Wolfram Repositories and Archives ».Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Wolfram Data Framework Semantic framework for real-world data.
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