Division and new multiplication between vectors
Jos\'e E H Ram\'irez, E R Oria
TL;DR
This paper introduces a novel approach to vector division and multiplication within vector spaces, defining these operations through matrix representations and analyzing their mathematical significance.
Contribution
It presents new definitions for vector division and multiplication using elementary algebraic procedures and matrices, expanding the algebraic framework of vectors.
Findings
Vector division is represented by matrices in 2D and 3D spaces.
A new vector multiplication is defined that allows obtaining the division operation.
The paper analyzes the mathematical meaning of these new vector operations.
Abstract
The division between two vectors belonging to the same vector space is obtained by elementary procedures of vector algebra and is defined by a matrix. This representation is obtained for two and three dimensional vector spaces. A new vector multiplication is defined and an the inverse vector. Through this multiplication we can obtain the division previously defined.The meaning of vector division and multiplication are analyzed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMatrix Theory and Algorithms · Polynomial and algebraic computation · Advanced Optimization Algorithms Research