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Kapittel 2 · Lineærtransformasjonerlinear transformations

Linear Transformations: A Matrix Moves the Grid

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Linear transformation of the plane — every 2×2 matrix bends the standard grid in exactly one way, and its two columns are the images of the basis vectors e₁ and e₂. Rotation, scaling and shear are special cases of the same machine, closed off with a hero outro.

linear transformationmatrix representationstandard basisrotationscalingshear