## Linear Algebra: A Modern IntroductionDavid Poole's innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Vectors | 1 |

Systems of Linear Equations | 57 |

Matrices | 136 |

Eigenvalues and Eigenvectors | 253 |

Orthogonality | 366 |

Vector Spaces | 427 |

Distance and Approximation | 529 |

### Other editions - View all

### Common terms and phrases

2015 Cengage Learning addition algebra apply approximation basis calculations called Chapter coefficients column complex compute consider contains coordinate copied Copyright 2015 Cengage corresponding defined definition denoted dependent determine diagonal direction Due to electronic duplicated eBook and/or eChapter(s eigenvalues eigenvectors electronic rights elementary entries equation equivalent Example Exercise fact factorization Figure formula function given gives Hence invertible least linear combination linear transformation linearly independent mathematical matrix method multiplication norm Note obtain operations origin orthogonal orthogonal matrix plane polynomial population positive possible Problem projection proof properties Prove rank reduced Remark respect result Rights Reserved scalar scanned shown solution solve span square standard subspace Suppose suppressed symmetric symmetric matrix Theorem third party content tion true unique unit values variables vector space whole write zero