Node-voltage analysis is demonstrated on two circuits. The first is a circuit with two undefined node voltages, a sinusoidal source, a capacitor, and an inductor. The second circuit includes a dependent source (a current-controlled current source). Solutions of complex systems of equations is mentioned.
Additional resources for solving complex systems of equations:
TI-83 demonstration
https://www.youtube.com/watch?v=inHqRSktULs
TI-89 demonstration
https://www.youtube.com/watch?v=FY8MJPG2dCc
TI-Nspire
https://www.youtube.com/watch?v=no6mCxgKyQU