Pre calculus ENG - Systems of Linear Equations with three Variables

Summary
This video is a pre-calculus lecture covering topics such as systems of linear equations with three variables, determinants of order three, and roots of polynomials. The instructor explains how to solve systems of linear equations with three variables by representing them as planes in three-dimensional space. They also demonstrate how to find the determinant of a 3x3 matrix using expansion and shortcut methods. The video concludes with an explanation of finding roots or solutions for polynomial equations.

Highlights
- The video discusses systems of linear equations in three variables and explains how they can be represented as planes in three-dimensional space.
- The instructor demonstrates how to find the determinant of a 3x3 matrix using expansion and a shortcut method.
- They provide examples and step-by-step explanations of finding roots or solutions for polynomial equations.
- The synthetic division method is used to test potential roots and simplify the polynomial equations.