Linear Equations: What Makes an Equation Linear | Linear Algebra 1.1

Learn what makes an equation linear and how to spot the ones that are not. We plot the solutions of 3x − y = 2, extend to more unknowns, and test non-linear examples such as x³ + y = 1 and xy = 6. What you'll learn: • Recognise a linear equation and name its coefficients • See why solutions of 2 unknowns form a line • Spot powers, products and functions that break linearity Chapters: 0:00 What a linear equation looks like 0:31 Solutions and the line they form 1:10 More unknowns and the general form 2:14 What is not linear 3:09 Recap Up next: 1.2 Systems of Linear Equations Lecture 1 playlist:    • Linear Algebra 1 · Linear Systems and Row ...   Full series:    • Linear Algebra · Full Series (101 short le...   Linear Algebra 1.1: part 1 of lecture 1 in a series of short, animated lessons with one worked example each. Captions are available. Narration uses a synthetic text-to-speech voice. Animations made with Manim. #LinearAlgebra #LinearEquations #Algebra