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
- Created On
- August 25th, 2017
- 7 years ago
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- 3
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- Video
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- English
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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
History
August 25th, 2017 7 years ago
Submitted by Petra Taylor
