« Matrice diagonalisable » : différence entre les versions

Version du 29 avril 2021 à 12:07

Matrice carrée semblable à une matrice diagonale.

matrice diagonalisable

diagonalizable matrix

A diagonalizable matrix is any square matrix or linear map where it is possible to sum the eigenspaces to create a corresponding diagonal matrix.

@@ Ligne 1 : / Ligne 1 : @@
-==en construction==
 == Définition ==
-XXXXXXXXX
+Matrice carrée semblable à une matrice diagonale.
 == Français ==
-''' XXXXXXXXX '''
+''' matrice diagonalisable '''
 == Anglais ==
-''' Diagonalizable Matrix '''
+''' diagonalizable matrix '''
 A diagonalizable matrix is any square matrix or linear map where it is possible to sum the eigenspaces to create a corresponding diagonal matrix.
-An n matrix is diagonalizable if the sum of the eigenspace dimensions is equal to n.
-A linear map of T : V → V is diagonalizable if the sum of eigenspace dimensions is equal to dim(V),
+<small>
-A matrix that is not diagonalizable is considered “defective.”
+[https://deepai.org/machine-learning-glossary-and-terms/diagonalizable-matrix  Source : DeepAI.org ]
-The point of this operation is to make it easier to scale data, since you can raise a diagonal matrix to any power simply by raising the diagonal entries to the same. In this case, the diagonal matrix’s determinant is simply the product of all the diagonal entries
+[https://www.techno-science.net/glossaire-definition/Matrice-diagonalisable.html  Source : Techno-sciences.net ]
-<small>
+[https://www.methodemaths.fr/diagonalisation_matrices/  Source : methodemaths.fr ]
-[https://deepai.org/machine-learning-glossary-and-terms/diagonalizable-matrix  Source : DeepAI.org ]
 [[Catégorie:DeepAI.org]]
 [[Catégorie:vocabulary]]