7. How Many Chickens and Rabbits? The Classic Linear Equation Puzzle | Linear Algebra Made Easy

Описание: Linear Algebra Made Easy｜Iris Book Series
This video uses the classic “Chickens and Rabbits” puzzle to illustrate how systems of linear equations, matrix multiplication, and linear combinations are deeply connected. We solve the equations algebraically, visualize the solution as the intersection of two lines, rewrite the problem in matrix form Ax = b, and interpret (x₁, x₂) as the coordinates of b in the basis formed by A’s column vectors. This simple example reveals how linear algebra unifies equations, geometry, and vector space intuition.

Keywords: linear algebra, system of equations, matrix multiplication, linear combination, 2D geometry, visualization, Ax = b, inverse matrix, basis vectors
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Voice：生姜DrGinger
Video：崔崔CuiCui
Library：Manim
Thanks：Tsinghua University Press 3Blue1Brown
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