System of linear equations

A system of linear equations (or a linear system) is a collection of one or more linear equations involving the same variables— say, x1,x2 ... xn

Solution

3 possibilities

• no solution
• exactly 1 solution
• infinitely many solution

Consistent : 1 / inf solution

Inconsistent : no solution

Matrix Notation

original linear system

Coefficient Matrix

only the co-effs are stored

Augmented Matrix

whole system in matrix

Solving linear system