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- Matrix_consimilarity abstract "In linear algebra, two n-by-n matrices A and B are called consimilar iffor some invertible matrix , where denotes the elementwise complex conjugation. So for real matrices similar by some real matrix , consimilarity is the same as matrix similarity. Like ordinary similarity, consimilarity is an equivalence relation on the set of matrices, and it is reasonable to ask what properties it preserves. The theory of ordinary similarity arises as a result of studying linear transformations referred to different bases. Consimilarity arises as a result of studying antilinear transformations referred to different bases. A matrix is consimilar to itself, its complex conjugate, its transpose and its adjoint matrix. Every matrix is consimilar to a real matrix and to a Hermitian matrix. There is a standard form for the consimilarity class, analogous to the Jordan normal form.".
- Matrix_consimilarity wikiPageID "25981480".
- Matrix_consimilarity wikiPageRevisionID "530697024".
- Matrix_consimilarity hasPhotoCollection Matrix_consimilarity.
- Matrix_consimilarity subject Category:Matrices.
- Matrix_consimilarity comment "In linear algebra, two n-by-n matrices A and B are called consimilar iffor some invertible matrix , where denotes the elementwise complex conjugation. So for real matrices similar by some real matrix , consimilarity is the same as matrix similarity. Like ordinary similarity, consimilarity is an equivalence relation on the set of matrices, and it is reasonable to ask what properties it preserves.".
- Matrix_consimilarity label "Matrix consimilarity".
- Matrix_consimilarity sameAs m.0b6ggb0.
- Matrix_consimilarity sameAs Q6787866.
- Matrix_consimilarity sameAs Q6787866.
- Matrix_consimilarity wasDerivedFrom Matrix_consimilarity?oldid=530697024.
- Matrix_consimilarity isPrimaryTopicOf Matrix_consimilarity.