Inhomogeneous Connotations across Square, Stoichiometrically-Based Matrices

Matthew S. Fox^1,

¹Department Of Chemistry, Cheyenne Mountain High School, Colorado Springs, Colorado, United States

Cite this paper

Matthew S. Fox. Inhomogeneous Connotations across Square, Stoichiometrically-Based Matrices. American Journal of Applied Mathematics and Statistics. 2015; 3(4):142-145. doi: 10.12691/AJAMS-3-4-1

Abstract

In this report we analyze a subset of chemical equations that have equal numbers of elements and unknown coefficients; linear algebraically, these relate to n X n matrix systems. Here we associate inhomogeneous eigenvector occurrences to structural properties of chemical equations.

Keywords

linear algebra, stoichiometry, eigenvectors, eigenvalues

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

[1]	Fox, M.S. On Balancing Acidic and Basic Reduction/Oxidation Reactions with a Calculator. World J. of Chem. Educ. 2015, 3 (3), 74-77.
[2]	Olson, J.A. An Analysis of the Algebraic Method for Balancing Chemical Reactions. J. Chem. Educ. 1997, 74 (5), 538-542.
[3]	Alberty, R.A. Chemical Equations are Actually Matrix Equations. J. Chem. Educ. 1991, 68, 984.
[4]	Kennedy, J.H. Balancing Chemical Equations with a Calculator. J. Chem. Educ. 1982, 59, 523.
[5]	Strang, G. Linear Algebra and Its Applications, 4th ed.; Academic Press, INC.: London, 2006; pp 73.
[6]	McCoy, B. Application of Linear Algebra: Balancing Chemical Equations. The University of North Carolina at Chapel Hill. http://www.unc.edu/$\sim$marzuola/Math547\_S13/Math547\_ S13\_Projects/B\_McCoy\_Section001\_BalancingChemicalEquations.pdf (accessed Apr. 2015).
[7]	Dawes, J. The Invertible Matrix Theorem—Proofs. The University of Manchester. 2014, 1-4.
[8]	Taylor, H.S. The Atomic Concept of Matter. A Treatise on Physical Chemistry. 1942, 1, 2.