Gauss Jordan elimination (RREF) for Ax=b, infinitely many solutions
Gauss Jordan elimination (RREF) for Ax=b which has Infinitely many solutions.
❖ Solve a linear system Ax=b 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 | c ]
So,
(b vector) changed to (c vector) because we have done RREF for the augmented matrix [A|b], so the answer is the vector c.
❖ 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 a unique solution (one solution) for the Nonhomogeneous system Ax=b.
Later, we will talk about the Homogeneous system Ax=0.
The link to this playlist (Linear Algebra):
• Linear Algebra
Confirming this solution is correct in the next video:
• Confirm the infinitely many solutions for ...
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