APPLICATIONS OF SYSTEMS OF LINEAR EQUATIONS

The procedure Polynomial Curve Fitting is used when a collection of data is represented by n points in xy plane.

                              (x₁,y₁) , (x₂,y₂), … (x_n,y_n)

And you are asked to find a polynomial function of degree n-1 whose graph passes through the specified points

                                       P(x) = a₀ +a₁x +a₂x² + … + a_n-1x^n-1

Another application is the network analysis,

A Network is composed of branches and junctions which are used to analyze the flow by using system of linear equations. The total flow in a junction is equal to the total flow out of a junction.

Kirchhoff’s Law
1. All the current flow into a junction must flow out of it
2. The sum of all voltages is equal to the sum of the products of the current and resistance
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