They Did The Math

Gauss Jordan elimination (RREF) for Ax=0 which has *Infinitely many solutions*. ❖ Solve a linear system Ax=0 by using a Reduced Row Echelon Form (RREF). (Sometimes, they called this method as Gauss Jordan elimination ( or Gauss-Jordan reduction) method). In this example, the answer to this system has infinitely many solutions. ❖ The method can process for Ax=b as the following [A | b ] to [RREF | 0 ] We have done RREF for the augmented matrix [A|0]. ❖ Previously in this playlist, we have mentioned the steps to determine if a matrix is reduced row echelon form (RREF) or not. Here, we have explained infinitely many solutions for the Homogeneous system Ax=0. ❖ The infinitely many solutions for Homogeneous system Ax=0 called nontrivial solutions. The link of the previous video: The link of this playlist (Linear Algebra):