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Kapittel 2 · Lineærtransformasjonerbasis and coordinates

Same Vector, Two Grids

0:35Fortellerstemme
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Change of basis — the same arrow has different coordinates depending on the grid it is measured against. Standard grid reads our vector as (1, 3); a tilted basis B = {b₁, b₂} reads the very same vector as (2, 1).

basiscoordinate vectorchange of basislinear combinationstandard basis
ForutsetterSpan and Linear Dependence
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