The system of linear equations has at least one solution is consistent , whereas a system of linear equations that has no solution is inconsistent
What is a system of linear equations?
A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.
The subject of linear algebra, which is employed in most areas of contemporary mathematics, is based on the theory of linear systems. Numerical linear algebra includes computational strategies for obtaining the solutions, which are crucial to the fields of engineering, physics, chemistry, computer science, and economics. A helpful strategy when creating a mathematical model or computer simulation of a relatively complex system is to approximate a system of non-linear equations by a linear system (see linearization).
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