TITLE:
Why Are There as Many Elements in the Cantor Set as There Are Real Numbers?
AUTHORS:
Wenbing Wu, Xiaojian Yuan
KEYWORDS:
Cantor Ternary Set, Linear Independence, Vector, Linear Algebra
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.13 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. The article provides
a graphical explanation of how to distinguish between the concepts of linear correlation
and linear independence. 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.