Learn about Kirchhoff's Rules and their application in complex DC circuits in this comprehensive 29-minute video lesson. Explore Kirchhoff's Junction Rule, which states that the current flowing into a junction equals the current flowing out, and Kirchhoff's Loop Rule, explaining how potential increases and decreases in a circuit loop sum to zero. Understand how batteries typically cause potential increases while resistors cause decreases, and how direction affects the sign of potential differences. Follow along as an example problem is solved using Kirchhoff's Rules, setting up and solving a system of equations through substitution. Discover how to efficiently solve these equations using a TI calculator and matrix algebra, saving time on lengthy calculations.