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Kapittel 2 · Lineærtransformasjonerlinear transformations

A Matrix Is a Function: T(v) = Av

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A matrix-vector multiplication is a linear transformation. Walk through input v, the matrix machine A, the row-by-column dot product, and the output Av. Every linear T from ℝⁿ to ℝⁿ is multiplication by a matrix.

linear transformationmatrix-vector productrow times columnT(v) = Avdot product