Linear Algebra - Lecture 17: Introduction to Systems of Linear Equations

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We introduce systems of linear equations and discuss how to interpret them geometrically. We show that there are linear systems with 0, 1, or infinitely many solutions (but we do not yet prove that those are the only possibilities).

Please leave a comment below if you have any questions, comments, or corrections.

Timestamps:
00:00 - Introduction
01:19 - Linear equations
05:25 - Systems of linear equations
06:42 - Geometric interpretation in 2D
13:51 - Geometric interpretation in 3D
  1. Nathaniel Johnston
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Suggested edit to text, Thm 2.1.1, on page 81, 2nd paragraph of proof starting with "If Ax=b ... ". The sentence is a little "clunky". I suggest changing "there existing two distinct solutions of the linear systems" to "the assumption of two distinct solutions for the linear systems".
You present a complex subject with a simplicity that is awesome. Only someone with natural teaching ability and a deep understanding of the subject can do that. Well done. Thanks.

michaelmott