A Simple Understanding of Linear Independence and Linear Correlation

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.