Algebra 63 - Gauss-Jordan Elimination with Curve Fitting

The lecture introduces curve fitting using cubic polynomials, explaining how to find a mathematical function that fits a set of data points. It covers real-world applications, solving for coefficients using Gauss-Jordan elimination, and handling inconsistent systems. The lecture also explores systems with infinitely many solutions and concludes with a preview of quadratic functions.

What are the implications of having a unique solution in a system of linear equations?

How do you convert a matrix back into equations after using Gauss-Jordan elimination?

What is the vertical line test and how does it relate to functions?

In the context of curve fitting, what happens when only three points are given?