Assertion: isometry | /r/HasProperty | linear transformation
Facets:
value: over an inner product space
type: LOCATION
Source sentences:
text: An isometry of the plane is a linear transformation which preserves length.
text: Isometries, i.e., A is linear and ⟨ Ax ,
text: A Euclidean isometry f of a Euclidean space E defines a linear isometry f → {\displaystyle {\overrightarrow {f}}} of the associated vector space (by linear isometry, it is meant an isometry that is also a linear map) in the following way: denoting by Q – P the vector P Q →
text: I'm going through a step-by-step proof that all isometries fixing the origin are linear maps.
text: An isometry T is a linear automorphism over an inner product space V which preserves the inner product of any two vectors:
text: An isometry is a linear transformation that preserves distance and length.