Conceptual
Browse Instruct Curate
Login

Solving Ax=0 via Reduced Row Echelon Form to Find the Null Space Basis

Lecture 7 from MIT's 18.06 Linear Algebra course (Gilbert Strang): solving homogeneous systems Ax=0 by reducing to RREF, identifying pivot columns (basic variables) vs free columns (free variables), and generating a special solution vector per free variable to form a basis for the null space -- establishing the correspondence between free-variable count and null space dimension.