# AppendixBNotation

The following table defines the notation used in this book. Page numbers or references refer to the first appearance of each symbol.

Symbol | Description | Location |
---|---|---|

The number zero | Paragraph | |

The real numbers | Paragraph | |

Real -space | Definition 1.1.1 | |

A vector | Paragraph | |

The zero vector | Paragraph | |

Span of vectors | Definition 1.2.9 | |

Set builder notation | Note 1.2.10 | |

Row of a matrix | Item | |

Size of a matrix | Important Note 2.4.1 | |

Column space | Definition 3.3.16 | |

Null space | Definition 3.3.16 | |

Dimension of a subspace | Definition 3.4.3 | |

The rank of a matrix | Definition 3.6.1 | |

The nullity of a matrix | Definition 3.6.1 | |

transformation with domain and codomain | Definition 4.1.17 | |

Identity transformation | Definition 4.1.20 | |

Standard coordinate vectors | Notation 4.3.11 | |

identity matrix | Definition 4.3.13 | |

The entry of a matrix | Notation 4.4.16 | |

The zero transformation | Paragraph | |

The zero matrix | Paragraph | |

Inverse of a matrix | Definition 4.5.1 | |

Inverse of a transformation | Definition 4.5.14 | |

The determinant of a matrix | Definition 5.1.1 | |

Transpose of a matrix | Definition 5.1.23 | |

Minor of a matrix | Definition 5.2.1 | |

Cofactor of a matrix | Definition 5.2.1 | |

Adjugate matrix | Paragraph | |

Volume of a region | Theorem 5.3.6 | |

Volume of the parallelepiped of a matrix | Theorem 5.3.6 | |

The image of a region under a transformation | Paragraph | |

Trace of a matrix | Definition 6.2.9 | |

Real part of a complex vector | Paragraph | |

Imaginary part of a complex vector | Paragraph | |

Dot product of two vectors | Definition 7.1.1 | |

is orthogonal to | Paragraph | |

Orthogonal complement of a subspace | Definition 7.2.1 | |

Row space of a matrix | Definition 7.2.17 | |

Orthogonal projection of onto | Definition 7.3.3 | |

Orthogonal part of with respect to | Definition 7.3.3 | |

The complex numbers | Definition A.0.28 | |

Complex conjugate | Item | |

Real part of a complex number | Item | |

Imaginary part of a complex number | Item |