Subtraction of Vectors

Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more.

Table of Contents

Math Background

Vectors

Index

Subtraction of Vectors

The subtraction of vectors is accomplished in the same way as the addition of vectors:

Definition

Let a, b, and c be vectors of the same order and form. The difference vector c := a - b is then calculated by subtracting the corresponding elements of the vectors a and b: c_k:= a_k- b_k.

Note that the subtraction can be formally seen as a summation: a-b:=a+(-b).

Subtracting two equal vector results in a vector with all elements being zero. This vector is also called a zero vector, usually depicted by o.

Last Update: 2006-Jan-18