# 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 1.1.4
Row of a matrix Item
A vector Paragraph
The zero vector Paragraph
Span of vectors Definition 2.2.7
Set builder notation Note 2.2.8
Size of a matrix Important Note 2.3.1
Column space Definition 2.6.16
Null space Definition 2.6.16
Dimension of a subspace Definition 2.7.3
The rank of a matrix Definition 2.9.1
The nullity of a matrix Definition 2.9.1
transformation with domain and codomain Definition 3.1.17
Identity transformation Definition 3.1.20
Standard coordinate vectors Notation 3.3.11
identity matrix Definition 3.3.13
The entry of a matrix Notation 3.4.16
The zero transformation Paragraph
The zero matrix Paragraph
Inverse of a matrix Definition 3.5.1
Inverse of a transformation Definition 3.5.14
The determinant of a matrix Definition 4.1.1
Transpose of a matrix Definition 4.1.23
Minor of a matrix Definition 4.2.1
Cofactor of a matrix Definition 4.2.1
Volume of a region Theorem 4.3.6
Volume of the parallelepiped of a matrix Theorem 4.3.6
The image of a region under a transformation Paragraph
Trace of a matrix Definition 5.2.9
Real part of a complex vector Paragraph
Imaginary part of a complex vector Paragraph
Dot product of two vectors Definition 6.1.1
is orthogonal to Paragraph
Orthogonal complement of a subspace Definition 6.2.1
Row space of a matrix Definition 6.2.17
Orthogonal projection of onto Definition 6.3.3
Orthogonal part of with respect to Definition 6.3.3
The complex numbers Definition A.0.28
Complex conjugate Item
Real part of a complex number Item
Imaginary part of a complex number Item