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Solving Ax = 0 via Reduced Row Echelon Form in Linear Algebra

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.