Systems of Linear Equations

Gaussian elimination and the art of solving Ax = b

Most of applied math reduces to solving Ax = b. This module teaches you Gaussian elimination and row reduction -- the algorithmic backbone of linear algebra. You'll see how systems of equations correspond to intersecting hyperplanes, understand when solutions exist (and when they don't), and implement row reduction in Python. Mini-lab: Solve a system of 5 equations by hand via row reduction, then verify with np.linalg.solve.

Estimated time: 60 minutes

Stuck on something? The AI tutor sees this lecture—just ask.