System of Linear Simultaneous Equations

Matrices and Determinants of Class 12

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.
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