System of Linear Equation or Simultaneous Equation
The solutions of system of linear equations provide one of most important practical applications of the theory of matrices.
In this blog , we shall discuss how the Rank method ,can be used to examine the problem of existence and uniqueness of solutions of system of linear equations.
Solution of the System
A set of values of all unknowns which simultaneously satisfy all the equations, is known as solution of system of equation.
Consistent and Non- Consistent
If the system of equations has one or more solutions.
Then it is said to be Consistent system otherwise it is said to be inconsistent System of Equations.