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- Similarity_invariance abstract "In linear algebra, similarity invariance is a property exhibited by a function whose value is unchanged under similarities of its domain. That is, is invariant under similarities if where is a matrix similar to A. Examples of such functions include the trace, determinant, and the minimal polynomial.A more colloquial phrase that means the same thing as similarity invariance is "basis independence", since a matrix can be regarded as a linear operator, written in a certain basis, and the same operator in a new base is related to one in the old base by the conjugation , where is the transformation matrix to the new base.".
- Similarity_invariance wikiPageID "1535719".
- Similarity_invariance wikiPageRevisionID "506311091".
- Similarity_invariance hasPhotoCollection Similarity_invariance.
- Similarity_invariance subject Category:Functions_and_mappings.
- Similarity_invariance type Abstraction100002137.
- Similarity_invariance type Function113783816.
- Similarity_invariance type FunctionsAndMappings.
- Similarity_invariance type MathematicalRelation113783581.
- Similarity_invariance type Relation100031921.
- Similarity_invariance comment "In linear algebra, similarity invariance is a property exhibited by a function whose value is unchanged under similarities of its domain. That is, is invariant under similarities if where is a matrix similar to A.".
- Similarity_invariance label "Similarity invariance".
- Similarity_invariance sameAs m.058s4x.
- Similarity_invariance sameAs Q7517804.
- Similarity_invariance sameAs Q7517804.
- Similarity_invariance sameAs Similarity_invariance.
- Similarity_invariance wasDerivedFrom Similarity_invariance?oldid=506311091.
- Similarity_invariance isPrimaryTopicOf Similarity_invariance.