Linear Algebra · Algebra
Systems of Linear Equations and Row Reduction
Gaussian elimination solves any linear system by applying row operations that preserve the solution set. Understanding the three possible outcomes is the first theorem.
WHAT STUDENTS WILL LEARN
✓Write systems as augmented matrices
✓Apply Gaussian elimination and RREF
✓Classify as consistent (unique/infinite) or inconsistent
✓Interpret solutions geometrically
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