University of Jos Institutional Repository >
Natural Sciences >
Please use this identifier to cite or link to this item:
|Title: ||Using Row Reduced Echelon Form in Balancing Chemical Equations|
|Authors: ||Akinola, R. O.|
Kutchin, S. Y.
Nyam, I. A.
|Issue Date: ||15-Dec-2016|
|Publisher: ||Advances in Linear Algebra & Matrix Theory|
|Series/Report no.: ||Vol.6;Pp146-157|
|Abstract: ||In an earlier paper published in the Journal of Natural Sciences Research in 2015 on
how to balance chemical equations using matrix algebra, Gabriel and Onwuka showed
how to reduce the resulting matrix to echelon form using elementary row operations.
However, they did not show how elementary row operations can be used in reducing
the resulting echelon matrix to row reduced echelon form. We show that the solution
obtained is actually the nullspace of the matrix. Hence, the solution can be infinitely
many. In addition, we show that instead of manually using row operations to reduce
the matrix to row reduced echelon form, software environments like octave or Matlab
can be used to reduce the matrix directly. In all the examples presented in this
paper, we reduced all matrices to row reduced echelon form showing all row operations,
which was not clearly stated in the Gabriel and Onwuka paper. Most importantly,
with the availability of Mathematical software, we show that we do not need to
carry out these row operations by brute force.|
|Appears in Collections:||Mathematics|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.