Illustration of gauss-jordan elimination, MATLAB in Engineering

Illustration of gauss-jordan elimination:

An illustration of interchanging rows would be r1 ¬→ r3, that would results:

Now, beginning with this matrix, an illustration of scaling would be: 2r2 →  r2, that means all the elements in row 2 are multiplied by 2. These results:

1285_Illustration of gauss-jordan elimination.png

Now, beginning with this matrix, an illustration of a replacement would be: r3 - 2r2 → r3. Element-by-element, row 3 is substituted by the element in row 3 minus 2 * the equivalent element in row 2. This result:

524_Illustration of gauss-jordan elimination1.png

Both the Gauss and Gauss-Jordan techniques start with the matrix form Ax = b of a system of equations, and then augment the coefficient matrix A with the column vector b.

1631_Illustration of gauss-jordan elimination2.png

 

Posted Date: 10/22/2012 3:19:20 AM | Location : United States







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