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Mathematics-Online lexicon:

Change of Basis


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Changing the basis $ E\to E'$ the coordinates of a given vector $ v$ change according to

$\displaystyle v_E = A v_{E'},\,
$

where the columns of matrix $ A$ contain the coefficients of basis vectors $ e'_i$ relative to basis $ E$:

$\displaystyle e'_i = \sum_j a_{j,i} e_j\,
.
$

(Authors: Burkhardt/Höllig/Hörner)

see also:


  automatically generated 1/20/2005