Matrice diagonalisable
en construction
Définition
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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),
A matrix that is not diagonalizable is considered “defective.”
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
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Contributeurs: Claire Gorjux, Imane Meziani, wiki