Linear Algebra Examples C-1: Linear Equations, Matrices and Determinants
The book is a collection of solved problems in linear algebra, this first volume covers linear equations, matrices and determinants. All examples are solved, and the solutions usually consist of step-by-step instructions, and are designed to assist students in methodically solving problems.
Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors.
Added by: honhungoc | Karma: 8663.28 | Black Hole | 25 November 2010
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MIT Linear Algebra Video Lectures
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded live in the Fall. Support for the video production was provided by the Lord Foundation of Massachusetts under a grant to the MIT Center for Advanced Educational Services.
01 The Geometry of Linear Equations.rm 02 Elimination with Matrices.rm 03 Multiplication and Inverse Matrices.rm 04 Factorization into A = LU.rm 05 Transposes, Permutations, Spaces R^n.rm 06 Column Space and Nullspace.rm 07 Solving Ax = 0 - Pivot Variables, Special Solutions.rm 08 Solving Ax = b - Row Reduced Form R.rm 09 Independence, Basis, and Dimension.rm
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One of life's most exhilarating experiences is the "aha!" moment that comes from pondering a mathematical problem and then seeing the way to an elegant solution. If you are bad at math, this video series will improve your mathematical problem solving and also raise tremendously your GRE quantitative section!
Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica. The accompanying CD contains Mathematica Notebooks for illustrating most of the topics in the text and for solving problems in mathematical physics.
