[TUTORIAL] System of Linear Equations 1: Gaussian Elimination
e-math Video
Have you ever get frustrated by substitutions? This video is about Gaussian Elimination, a different approach to the system of linear equations with 3 variables
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A mistake in slide! 01:10 - 02:20 First row of matrix should be [1 2 -3 | -3]
Check out these sites!
Gaussian Elimination calculator https://onlinemschool.com/math/assistance/equation/gaus/
4 Equations 4 Unknowns | Algebra | Kid2Kid Tutorials https://www.youtube.com/watch?v=96hB6oV4tkA
Properties of Real numbers https://mathbitsnotebook.com/Algebra1/RealNumbers/RNProp.html
How ordinary elimination became Gaussian elimination https://www.sciencedirect.com/science/article/pii/S0315086010000376
Background Music: Splashing Around by The Green Orbs Downloaded from Youtube Audio Library [Royalty Free]
Other sources:
1."There is another" meme https://en.meming.world/wiki/There_Is_Another
Easy peasy lemon squeezy https://www.dictionary.com/e/slang/easy-peasy-lemon-squeezy/
Systems of Linear Equations: Three Variables https://courses.lumenlearning.com/wmopen-collegealgebra/chapter/introduction-systems-of-linear-equations-three-variables/
I DO NOT OWN ANY PART FROM THE SOURCES ABOVE
Feel free to download the printout: https://drive.google.com/open?id=1JbKBL5br0Fr6PftPvjef75j5YQ3P3ssA
Timestamp:
0:00 Introduction 0:38 Gaussian Elimination demo 3:23 Augmented matrix and coefficient matrix 4:20 Row-equivalent operations 5:00 Tricks to do Gaussian Elimination 5:30 Example 1 8:06 Gaussian Elimination summary 8:34 Example 2: Derive elimination method 10:22 Example 3 (No solution) 11:03 Example 4 (Infinite solution) 12:31 Overall summary
Let's do math for fun!
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