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.

                 
How to solve linear equation
Simultaneous Equations
  

simultaneous 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.
how to solve linear 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.
inconsistent system


Homogeneous System and Non- Homogeneous System 




 Non-Homogeneous  System-Solution Method-Rank Method




linear equations with rank method


How to Solve and Apply Condition


how to apply non homogeneous condition

 Homogeneous System Solution Methods




homogeneous system