Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. |
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See also: matrix algebra | |||||||
Vectors - IntroductionVectors form the basis for many mathematical methods and are important for data analysis. Note that a vector may be seen as a 1-by-n matrix.
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.
To denote a certain element of a vector, we shall use a lowercase letter (to specify the vector of which we are taking an element) with an index (for the index within the vector), such as a2, for example.
It is an important aspect of vector and matrix algebra that we have two sets of objects to handle: the vectors (or matrices, respectively) as an entity and the scalars contained in these entities (however, matrices can also be seen as vectors of vectors of scalars).
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