System of Linear Equations - Solution Set

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:

  1. The system has infinitely many solutions.
  2. The system has a single unique solution.
  3. The system has no solution.

Read more about this topic:  System Of Linear Equations

Famous quotes containing the words solution and/or set:

    “There’s one solution that ends all life’s problems.”
    —Chinese proverb.

    “I do not set my life at a pin’s fee,
    And for my soul, what can it do to that,
    Being a thing immortal as itself?”
    —William Shakespeare (1564–1616)