Applied Linear Algebra and Matrix Analysis

Applied Linear Algebra and Matrix Analysis

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This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.Leta#39;s look at it from this point of view: transposing a matrix interchanges the rows and columns of the matrix. ... could have given the definition of determinant in terms of expanding across the first row instead of down the first column and gotten the same answers. Likewise, we could perform elementary column operations instead of row operations and get the same results as D2a€“D4. ... Here is another approach: leta#39;s expand the determinant down the second column, since it is mostly 0a#39;s.

Title:Applied Linear Algebra and Matrix Analysis
Author:Thomas S. Shores
Publisher:Springer Science & Business Media - 2007-03-12


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