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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Printed edition: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Jörg Liesen; V L Mehrmann |

ISBN: | 9783319243467 3319243462 |

OCLC Number: | 932169329 |

Description: | 1 online resource (xi, 324 pages) : color illustrations. |

Contents: | Linear Algebra in every day life -- Basic mathematical concepts -- Algebraic structures -- Matrices -- The echelon form and the rank of matrices -- Linear systems of equations -- Determinants of matrices -- The characteristic polynomial and eigenvalues of matrices -- Vector spaces -- Linear maps -- Linear forms and bilinear forms -- Euclidean and unitary vector spaces -- Adjoints of linear maps -- Eigenvalues of endomorphisms -- Polynomials and the Fundamental Theorem of Algebra -- Cyclic subspaces, duality and the Jordan canonical form -- Matrix functions and systems of differential equations -- Special classes of endomorphisms -- The singular value decomposition -- The Kronecker product and linear matrix equations. |

Series Title: | Springer undergraduate mathematics series |

Responsibility: | by Jörg Liesen, Volker Mehrmann. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"This book begins with applied problems that are examined as the theory is developed. ... Liesen and Mehrmann ... present computations with matrix groups and rings, elementary matrices, echelon forms, rank, linear systems, determinants, and eigenvalues and eigenvectors before introducing vectors and vector spaces. ... Each chapter ends with a set of exercises addressing both computation and theory. ... Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners." (J. R. Burke, Choice, Vol. 53 (12), September, 2016) "It provides a good introductory undergraduate course at an intermediate level ... . From the beginning, the authors motivate the material with interesting examples ... . the text includes short 'MATLAB-Minutes' which are exercises providing an informal introduction to the use of MATLAB in linear algebra, including hints about how care may be needed when working in finite precision." (John D. Dixon, zbMATH 1334.15001, 2016) Read more...

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