Polynomial Curve Fitting

EXAMPLES :

 



 

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Homogeneous System

A homogeneous system of linear algebraic equations is one in which all the numbers on the right hand side are equal to 0:

a11x1 + : : : + a1nxn = 0

...

am1x1 + : : : + amnxn = 0

EXAMPLE:

 

(0,0,0) - trivial or obvious solution

Gauss- Jordan Elimination

• Gauss- Jordan Elimination

                    - A method of solving a linear system of equations. This is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

1. Write the Augmented Matrix
2. Target: Reduced Row Echelon Form
3. Rewrite in linear systems

Gaussian Elemination with Back Substitution

1. Write the augmented matrix
2. Use Elementary Row Operations to obtain Row Echelon form of the matrix
3. Rewrite in linear system
4.Back Substitution