## Elementary Linear AlgebraWhen it comes to learning linear algebra, engineers trust Anton. The tenth edition presents the key concepts and topics along with engaging and contemporary applications. The chapters have been reorganized to bring up some of the more abstract topics and make the material more accessible. More theoretical exercises at all levels of difficulty are integrated throughout the pages, including true/false questions that address conceptual ideas. New marginal notes provide a fuller explanation when new methods and complex logical steps are included in proofs. Small-scale applications also show how concepts are applied to help engineers develop their mathematical reasoning. |

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it is book to which i can recommend others to read

### Contents

CONTENTS | 2 |

Determinants | 93 |

Euclidean Vector Spaces | 119 |

INTRODUCTION Information in science business and mathematics is often organized into rows | 122 |

General Vector Spaces | 171 |

Eigenvalues and Eigenvectors | 295 |

Inner Product Spaces | 335 |

Diagonalization and Quadratic Forms | 389 |

Linear Transformations | 433 |

Numerical Methods | 477 |

APPENDIX A How to Read Theorems | 519 |

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### Common terms and phrases

3-space addition and scalar angle axioms basis vectors called coefﬁcients cofactor expansion column space column vectors components compute conﬁrm coordinate vector corresponding deﬁned denote det(A determine diagonal diagonalizable dot product eigenspace eigenvalues eigenvector entries Euclidean inner product EXAMPLE expressed Figure ﬁnd ﬁrst following theorem form a basis Formula functions geometric initial point inner product space invertible matrix justify your answer linear combination linear equations linear system linear system Ax linear transformation linearly independent linearly independent set matrix operator matrix transformation nonzero vector null space obtain one-to-one orthogonal projection plane polynomial Proof properties Prove quadratic form real numbers reduced row echelon reﬂection result rotation row echelon form row space row vectors satisﬁes scalar multiplication set of vectors solve span square matrix standard basis standard matrix subspace symmetric symmetric matrix transition matrix True-False Exercises unit vectors vectors in Rn verify x-axis xTAx