What is a consistent linear system?
1 Answer
May 3, 2016
A consistent linear system is a system of linear equations with at least one set of values satisfying all equations.
Explanation:
A system of linear equations is said to be consistent if there is a solution which satisfies all of the equations. For example,
has the solution
and thus is consistent.
The system
has infinitely many solutions, as any
However, the following system is not consistent
as there is clearly no pair of values