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Translations for diagonalizable in the English » Arabic Dictionary

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diagonalizable ADJ

diagonalizable

Monolingual examples (not verified by PONS Editors)

English
It is an elation, if all the eigenvalues are equal and the matrix is not diagonalizable.
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Hence, a matrix is diagonalizable if and only if its nilpotent part is zero.
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Some matrices are not diagonalizable over any field, most notably nonzero nilpotent matrices.
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Put in another way, a matrix is diagonalizable if and only if all of its elementary divisors are linear.
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