Assertion: ordered basis | /r/HasProperty | the image
Facets:
Source sentences:
text: The ordered basis B is the image by φ {\displaystyle \varphi } of the canonical basis of F n .
text: It follows from what precedes that every ordered basis is the image by a linear isomorphism of the canonical basis of F n , {\displaystyle F^{n},} and that every linear isomorphism from F n {\displaystyle F^{n}} onto V may be defined as the isomorphism that maps the canonical basis of F n {\displaystyle F^{n}} onto a given ordered basis of V.
text: The ordered basis B is the image by φ {\displaystyle \varphi } of the canonical basis of F n .
text: It follows from what precedes that every ordered basis is the image by a linear isomorphism of the canonical basis of F n , {\displaystyle F^{n},} and that every linear isomorphism from F n {\displaystyle F^{n}} onto V may be defined as the isomorphism that maps the canonical basis of F n {\displaystyle F^{n}} onto a given ordered basis of V.