Applications of Matrix Calculus in the Study of Chemical Reactions
- Author M. Ilea
- Co-Author A. Gheorghi??, M. Turnea, D.Arot?ri?ei, C.G.Viscotel, I. Condurache, M. Rotariu
- DOI https://ww
- Country : Romania
- Subject : Medical Biosciences
Keywords : Matrix, Gauss-Jordan algorithm, Chemical reactions
Abstract
Linear algebra is one of the branches of algebra that has many applications in all fields of exact and technical sciences. We emphasize that one of the important applications of linear algebra is to write correctly the chemical reactions using notions of matrix calculus. Balancing chemical equations is considered the most common problem facing researchers in chemical engineering. The article contains theoretical elements that are followed by the study of five chemical reactions, which can be balanced using the Gauss-Jordan algorithm to solve a system of linear equations. The mathematical method given here is applicable to all possibility’s cases in balancing chemical equations. The importance of this method lies in the fact that it becomes practically an algorithm that practically ensures the success of balancing for students who have no affinity for chemistry.
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