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How Many Solutions Does Ax = b Have? | Linear Algebra Basics
Автор: olwoi
Загружено: 2026-01-16
Просмотров: 9
Описание:
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:
• Linear Algebra
📌 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
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