Linear Algebra 1.1 Introduction to Systems of Linear Equations
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- čas přidán 29. 06. 2024
- In this video, we'll introduce you to systems of linear equations and teach you how to solve them using row echelon form and back substitution. If you're taking Linear Algebra or are interested in learning about linear equations, this video is for you.
If you prefer to learn these topics in shorter videos, please watch the Linear Algebra Short Videos playlist.
0:00 Introduction
0:15 Linear Equations in n Variables
1:32 Solutions and Solution Sets (parametric solution)
5:09 Practice: Solution Set
8:40 Systems of Linear Equations
11:36 Solving a System of Linear Equations by Back Substitution (One Solution)
14:18 Practice Solving a System by Back Substitution (One Solution)
15:43 Using Gaussian Elimination to Rewrite in Row Echelon Form (REF)
26:00 Practice Using Gaussian Elimination to Rewrite in REF and Solve (Inf. Many Sol.)
36:26 Practice Using Gaussian Elimination to Rewrite in REF and Solve (Inconsistent/No Sol.)
40:31 Up Next
Playlist Text: Elementary Linear Algebra, 8e, Ron Larson
Playlist: • New Linear Algebra Pla...
Slide Decks: bellevueuniversity-my.sharepo... - Krátké a kreslené filmy
Thank you Prof. Kimberly for making this new Linear Algebra playlist.I hope to see soon more lectures on this new Linear Algebra playlist. I wish the entire new Linear Algebra will be complete as soon as possible.
OMG Can you please upload the next chapters? I am using this same book right now for my semester. My professor is already on 2.2 Properties of Matrix Operations. I love the way you teach!
Your teaching is the best!!!
So much great content! I look forward to having the mathematical maturity to really sink my teeth into this. I’m guessing 2 years. Can I dive in once I’ve completed my college algebra self study or should I get some precalculus/calculus under my belt? Also, what sequence would you recommend to go from zero to number theory? Thanks!
Great questions! Before this course, calc I is a good prerequisite - not because you’ll need those skills. It’s more for mathematical maturity. I suggest Precalc, calc I and II, discrete and linear (either order), discrete 2 and/or modern geometry (either order), abstract. Then whatever you’d like!
@@SawFinMath It’s reassuring to know that you’ve got CZcams content for all of these! Thanks for the mathematical roadmap!
Thank you for all, bur I have a question, that is you have made many videos of linear and i dont know what I should take a look at first, can you show me the way, please.
I'm taking this course this term using this textbook, but the course will likely end before this playlist is complete. Is the playlist from Lay an equivalent substitute would you say? Does it map similarly in terms of concept order? Thank you for your help in Discrete Math, and now in Linear Algebra!
Thanks for the super thanks! You are awesome!
This playlist will be a bit more robust, including topics like Markov chains that I skipped over in the original playlist. However, the Lay playlist is done and will likely cover all of the topics needed for your course.
@@SawFinMath NP! I'll head on there while watching these as they develop. Super useful stuff for AI/ML. What's the usually division point between Linear Algebra I and II? Complex numbers? Thank you!