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单词 NecessaryAndSufficientConditionForDiagonalizability
释义

necessary and sufficient condition for diagonalizability


Let k be a field, V a vector spaceMathworldPlanetmath over k of dimensionPlanetmathPlanetmathPlanetmath n,and TEnd(V). Then T is diagonalizablePlanetmathPlanetmath if and only if its minimal polynomialPlanetmathPlanetmath (http://planetmath.org/MinimalPolynomialEndomorphism) has no multiple rootsMathworldPlanetmath and all its roots lie in k.

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更新时间:2025/5/4 17:06:38