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Bibliothek/Math/Linear Algebra

Linear Algebra animation videos

Browse curated Linear Algebra animation examples in Math, including reusable Manim scenes, visual proofs, and teaching-ready ideas.

Math · 3 Animationen

Vectors in 2D

Vectors in 2D

This animation introduces 2D vectors through visual demonstrations on a number plane. It shows a vector as an arrow, demonstrates scalar multiplication (stretching/shrinking), and vector addition using the tip-to-tail method. Component form and magnitude formula are displayed with MathTex.

Eigenvalues & Eigenvectors

Eigenvalues & Eigenvectors

Demonstrates the geometric meaning of eigenvalues and eigenvectors by applying a 2D linear transformation to the plane and contrasting how most vectors rotate and stretch while eigenvectors only stretch along their own span. The equation Av = λv is derived visually.

Matrix Transformations in 2D

Matrix Transformations in 2D

Visualizes how 2x2 matrices transform the plane by animating a NumberPlane grid through four key transformations: identity, 90-degree rotation, shear, and stretch. The basis vectors i-hat and j-hat are highlighted to show how the matrix columns determine the transformation outcome.

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