单词	change of basis
释义	change of basis (change of basis matrix) Given a linear map T:V → W between vector spaces, and a choice of bases for V and for W, then the matrix of the linear map T sends the coordinate vector of v ∈ V to the coordinate vector of Tv in W. Denote this matrix as T. If ' and ' are two other bases, then 'T' = (' I )( T )( I '), where I denotes the identity map (on V or W). The matrices ' I and I ' are referred to as change of basis matrices. Respectively, they change the coordinates of a vector with respect to (or ') to the coordinates of the same vector with respect to ' (or ).
随便看	Gaussian quadrature Gauss' Lemma Gauss map Gauss–Jordan elimination Gauss–Markov Theorem Gauss–Seidel iterative method gcd Gelfond-Schneider theorem generalization generalized coordinates generalized eigenvector generalized function generalized maximum likelihood ratio test statistic generalized mean value theorem general linear group general position general relativity general solution general topology generating function generator generator genus geodesic geodesic polar coordinates

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