Algebra 43 - Types of Linear Systems in Three Variables

The lecture explores the graphical representation of linear equations in two and three variables, focusing on the types of solutions possible. It explains how systems of equations can have unique, infinite, or no solutions based on the orientation of lines or planes. The lecture also covers the concepts of consistency and dependency in systems of equations.

How can the orientation of three planes affect the solutions of a system of equations?

In what way do systems of two linear equations differ from systems of three linear equations regarding solutions?

What does it mean for a system of equations to be consistent or inconsistent?