System of Linear Simultaneous Equations

System of Linear Simultaneous Equations

System of three linear equations with three unknowns is a₁x + b₁y + c₁z = d₁, a₂x + b₂y + c₂z = d₂, a₃x + b₃y + c₃z = d₃

• If system of equations has no solution, then it is called inconsistent.
• If system of equations has at least one solution, then it is called consistent.
• If (d₁, d₂, d₂) = (0, 0, 0), then the system is called homogenous, otherwise
  non–homogenous.