Summary
Keywords
Full Transcript
How many solutions can a linear system have? In this video, we explore the solution sets of linear systems of the form Ax = b. You will see why a system can only ever have no solution, exactly one solution, or infinitely many solutions, and how this follows from the geometry of linear equations. If you enjoyed this video, check out the full playlist on linear algebra basics: https://www.youtube.com/playlist?list=PLlenrM60CLlM1C6JDdtVBz1LOzIwTSNCm 📌 Timestamps: 0:00 Introduction 0:42 The Problem: How Many Solutions? 0:59 The Three Possible Cases 2:16 Geometric Interpretation (2D) 4:43 Geometric Interpretation (3D) 7:53 Identifying the Number of Solutions (Row-Echelon Form) 11:49 How Row-Echelon Form Is Computed
Continue this lesson in the app
Install CourseHive on Android or iOS to keep learning while you move.
