TITLE:
A Simple Understanding of Linear Independence and Linear Correlation
AUTHORS:
Wenbing Wu, Xiaojian Yuan
KEYWORDS:
Linear Correlation, Linear Independence, Vector, Linear Algebra
JOURNAL NAME:
Creative Education,
Vol.14 No.11,
November
29,
2023
ABSTRACT: There are many important concepts in linear algebra, such as linear
correlation and linear independence,
eigenvalues and eigenvectors, and so on. Among them, linear correlation and linear independence
have irreplaceable importance, and have important applications in fields such
as algebra, signal processing, and artificial intelligence. This article
provides a graphical explanation of how to distinguish between the concepts of
linear correlation and linear independence, the method provided in the paper is
easy to grasp. The conclusion points out that linear independence means that
there are no two (base) vectors with the same direction in a vector graph; otherwise,
it is a linear correlation.