A adjust of works with matrix, likewise called a transition matrix, states the revolution from one vector communication to an additional under a readjust of basis. For example, if
are two vector bases in
, and also let
_B" /> it is in the collaborates of a vector
_(B^")" /> its coordinates in basis
You are watching: Change of coordinates matrix from b to c
Write the basis vectors
in works with relative to basis
This way that
| " />|
which mentions the change of works with of a vector under the change of basis from to via
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