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Similarity invariance : ウィキペディア英語版
Similarity invariance
In linear algebra, similarity invariance is a property exhibited by a function whose value is unchanged under similarities of its domain. That is, f is invariant under similarities if f(A) = f(B^AB) where B^AB 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 B^AB , where B is the transformation matrix to the new base.
== See also ==

* Invariant (mathematics)
* Gauge invariance
* Trace diagram

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Similarity invariance」の詳細全文を読む



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