Linear Algebra I: Basic Concepts

Name: Linear Algebra I: Basic Concepts
Brand: World Scientific
SKU: 9798886130546
Price: 1196.00 INR
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ISBN: 9798886130546

Contributor(s): Murota Kazuo Et Al Author Format: Paperback

Paperback · ISBN 9798886130546

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Key Specifications

ISBN	9798886130546
Publisher	World Scientific
Language	English
Page count	316

This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course. The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations. In particular, the following four aspects are emphasized. How matrices arise (discretization of differential equations, description of system structures, description of transition probability) What kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices) What characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness) How we can compute (expansion formulas of determinants, elementary transformation, estimates of eigenvalues)

Linear Algebra I: Basic Concepts

Key Specifications

Murota Kazuo Et Al Author

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