- HOW TO DEFINE UNKNOWN VARIABLES IN MATLAB 2009 HOW TO
- HOW TO DEFINE UNKNOWN VARIABLES IN MATLAB 2009 SOFTWARE
The ba- lancing-by-inspection method involves making successive intelligent guesses at making the coefficients that will balance an equation equal and continuing until the equation is balanced. Tuckerman mentioned two methods for balancing a Chemical reaction: by inspection and algebraic. The qualitative study of the relationship between reactants in a chemical reaction is termed Stoichiometry. If the number of atoms of each type of element on the left is the same as the number of atoms of the corresponding type on the right, then the chemical equation is said to be balanced, otherwise it is not. Balancing Chemical reaction is an excellent demonstative and instructive example of the inter-connectedness be- tween Linear Algebra and Stoichiometric principles”. “The quantitative and qualitative know- ledge of the chemical processes which estimates the amount of reactants, predicting the nature and amount of products and determining conditions under which a reaction takes place is important in balancing a chemical reaction. These differs from Mathematical equations in the sense that while a single arrow (in the case of an irreversible reaction) or a double arrow points in the forward and backward directions of both the reactants and products (in the case of a reversible reaction) connects chemical reactions, an equality sign links the left and right hand sides of a Mathematical equation.
A chemical reaction can either be reversible or irreversible. Substances that takes part in a che- mical reaction are represented by their molecular formula and their symbolic repre- sentation is also regarded as a chemical reaction. Most importantly, with the availability of Mathematical software, we show that we do not need to carry out these row operations by brute force.Īccording to Risteski, a chemical reaction is an expression showing a symbolic re- presentation of the reactants and products that is usually positioned on the left and right hand sides of a particular chemical reaction. 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.
HOW TO DEFINE UNKNOWN VARIABLES IN MATLAB 2009 SOFTWARE
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.
Hence, the solution can be infinitely many. We show that the solution obtained is actually the nullspace of the matrix. However, they did not show how elementary row operations can be used in reducing the resulting echelon matrix to row reduced echelon form.
HOW TO DEFINE UNKNOWN VARIABLES IN MATLAB 2009 HOW TO
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.