Balancing the chemical equations and their steady-state approximations in the complex reaction mechanism: linear algebra techniques

Mathematically, the complex reactions can be simplified through different linear/non-linear algebraic techniques that are the easiest way to balance the complex models. Furthermore, the complex chemical equations can be balanced with the linear algebraic technique based on matrix-inversion applications. That is the other way for the researchers and chemists to balance the complex chemical equation. In this article, we provide information about coefficients that balance the chemical equations through null-space methodology and the steady-state approximation by applying linear algebra technique. The purpose is not only to identify the undetermined coefficients but also to compute the kernel matrix or null spaces. Furthermore, the steady state for a two-step reaction mechanism is established.