Representation (unique) of a vector in terms of a basis for a vector space yields coordinates relative to the basis; change of basis and corresponding change of coordinate matrix

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- August 25th, 2017
- 6 years ago
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##### Each vector can be written uniquely as a linear combination of vectors from a given basis. math.la.t.vsp.basis.coord.unique

##### Definition of coordinates relative to a given basis, arbitrary vector space math.la.d.vsp.basis.relative.arb

##### Definition of change-of-coordinates matrix relative to a given basis of R^n (or C^n) math.la.d.vsp.basis.coord.change.rncn

##### Definition of coordinates relative to a given basis, coordinate vector space math.la.d.vsp.basis.relative.coord