Solution Set
A solution of a linear system is an assignment of values to the variables x1, x2, ..., xn such that each of the equations is satisfied. The set of all possible solutions is called the solution set.
A linear system may behave in any one of three possible ways:
- The system has infinitely many solutions.
- The system has a single unique solution.
- The system has no solution.
Read more about this topic: System Of Linear Equations
Famous quotes containing the words solution and/or set:
“The truth of the thoughts that are here set forth seems to me unassailable and definitive. I therefore believe myself to have found, on all essential points, the final solution of the problems. And if I am not mistaken in this belief, then the second thing in which the value of this work consists is that it shows how little is achieved when these problems are solved.”
—Ludwig Wittgenstein (1889–1951)
“Persons who insist to themselves that under one set of conditions only can they lead interesting and satisfying lives lay themselves open to bitter disappointments and frustrations.”
—Hortense Odlum (1892–?)