Gauss Jordan Elimination & Reduced Row Echelon Form | RREF

❖ To solve a linear system of equations by Gauss Jordan elimination, we have to put the augmented matrix in Reduced Row Echelon Form which is called RREF.

❖ This Linear Algebra video tutorial provides a basic introduction to the Gauss-Jordan elimination which is a process that involves elementary row operations with 3x3 matrices which allows you to solve a system of linear equations with 3 variables (x, y, z).

So, to solve the example you need
1) Convert the system of linear equations into an augmented matrix [ A | b ].
2) Convert the 3x3 matrix into the RREF by using Elementary row operations.

You can easily determine the answers once you convert the augmented matrix to the RREF.

❖ We have solved the system Ax=b in the following way:

[ A | b ] to [ REFF | c ],
b vector changed to c vector,
because we have done RREF for the augmented matrix [ A | b ].

0:00 ❖ Introduction (From the previous video)
0:58 Solving by Gauss Jordan Elimination

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[joshuaarinda]

On those last two equations to form the identity matrix the one below is supposed to equate to R2 not R1 3:42