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 --- Support me on YouTube: https://youtu.be/s8qc2qnHY6U --- A mistake in slide! 01:10 - 02:20 First row of matrix should be [1 2 -3 | -3] --- Check out these sites! 1. Gaussian Elimination calculator https://onlinemschool.com/math/assistance/equation/gaus/ 2. 4 Equations 4 Unknowns | Algebra | Kid2Kid Tutorials https://www.youtube.com/watch?v=96hB6oV4tkA 3. Properties of Real numbers https://mathbitsnotebook.com/Algebra1/RealNumbers/RNProp.html 4. 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 2. Easy peasy lemon squeezy https://www.dictionary.com/e/slang/easy-peasy-lemon-squeezy/ 3. 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!

Have you ever wonder, where did the mightly quadratic formula come from? This is the FIRST video of the NEW Series: Quadratic Series. This video covers the introduction to quadratic equation and proof of quadratic formula by completing the square --- Support me on YouTube: https://youtu.be/DY99LbxNlKw --- Check out other videos in this series PERFECT! Introduction to Quadratic Equation and Completing the Square [Quadratic Series 1] https://odysee.com/@e-math_Video:6/-LECTURE--Quadratic-Functions-and-Equations-1:9 THIS IS COMPLEX! Nature of Roots and Discriminant [Quadratic Equation #2] https://odysee.com/@e-math_Video:6/-LECTURE--Quadratic-Functions-and-Equations-2:3 "NEW" Method! Different Approach to Quadratic Equation [Quadratic Equation #3] https://odysee.com/@e-math_Video:6/-LECTURE--Quadratic-Functions-and-Equations:4 --- [SUGGESTED READING] 1. FOIL Operation http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method.html 2. The Quadratic Formula – An Intuitive Explanation https://mindyourdecisions.com/blog/2015/10/02/the-quadratic-formula-an-intuitive-explanation/ --- Background Music: Splashing Around by The Green Orbs Downloaded from Youtube Audio Library [Royalty Free] --- Other sources: 1. What is Quadratic Formula https://www.youtube.com/watch?v=3sOViKaYnt8 (Clip from Sakurasou no Pet na Kanojo - Episode 5, original by J.C. Staff) 2. “Am I a joke to you” meme https://knowyourmeme.com/memes/am-i-a-joke-to-you 3. I have a graphing calculator now yay https://www.reddit.com/r/teenagers/comments/brtz4c/i_have_a_graphing_calculator_now_yay/ 4. “Roll Safe” meme https://knowyourmeme.com/memes/roll-safe 5. “Drakeposting” meme https://knowyourmeme.com/memes/drakeposting I DO NOT OWN ANY PART FROM THE CONTENT ABOVE --- Feel Free to download the printouts: Part 1: Introduction and Completing the Square https://drive.google.com/open?id=18K2rfG-MOx5tGFuSNsApfnA1J1elDCEx Part 2: Complex Number and Discriminant https://drive.google.com/open?id=1Bv9_ih8XbEyf84dXbJxOLor0eH-cFMCd Part 3: S.O.R., P.O.R. and new method https://drive.google.com/open?id=1v-_jUL2Orn3A03hJwYCR3ECpx8SqpyrK --- Timestamp 0:00 Introduction 1:10 Definition of Quadratic Equation 1:45 Relationship between Quadratic Function and Quadratic Equation 3:25 Equation solving principles 4:07 Factorisation (Reverse FOIL method) 4:45 Graphical method 7:16 Perfect Square 7:53 Completing the Square 11:15 Quadratic Formula --- Let's do math for fun!