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Table of Contents Math Background Vectors Fundamentals | |
See also: matrix algebra |
Vector | We define an ordered set of n equal objects written in a column vector of order n, and the row counterpart of m objects a row vector (of order m). Please keep in mind that these definitions are simplified and cover only part of the exact, mathematical definition. However, the definition given here is sufficient for our purposes concerning data analysis. |
To denote a specific vector, we shall use a lowercase, bold letter,
such as
a, for example. Whether this vector a is a column
or row vector, will usually be clear from the context in which the letter
is used. When written explicitly, vectors are put in parenthesis.
Scalar | The n elements that form a vector according to definition above are called scalars. All scalars are taken from the same basic set. For most purposes the basic set is the space of real numbers R. |
To denote a certain element of a vector, we shall use a lowercase letter (to describe the vector from which we are taking an element) with an index (for the index within the vector), such as a_{2}, for example.
Last Update: 2005-Jän-25