System of Linear Equations

Definition and notation

Number of solutions

General, vector and parametric equations

Get parametric form from the general

Get the vector form from the parametric

Definition and implifications

Trivial solution

Number of solutions

Addition of two rows

Multiplication of a row to a constant number

Addition a multiple of a row into the another

Augmented matrix

Reduced row echelon form

Requirements

Leading one or the pivots

Gauss elimination to bring the matrix into the upped triangular form

Jordan elimination to bring the matrix into the RREF