Systems of Three Linear Equations – Planes and Gaussian Elimination

MathematicsAlgebraAges 15–16

Each equation ax + by + cz = d is a plane in space. Rotate the 3D frame to see three planes meet at one point (unique solution), meet pairwise along three parallel lines (no solution), or share a common line (infinite solutions), while stepping through Gaussian elimination on the augmented matrix to see why the system falls into that case.