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        "quote": "任何满足形如 $N ^ { k } = 0$ 的方程的算符 $N$ 称为 <u id=\"concept-4-nilpotent-operator\" class=\"concept-term\" data-concept-identity=\"urn:uuid:503e7b48-5ef7-4bf8-b4ab-31d04aaa1559\" data-concept-route=\"/concept-identities#concept-503e7b48-5ef7-4bf8-b4ab-31d04aaa1559\">幂零算符(nilpotent operator)</u>。任何幂零算符的矩阵 $N$ 都满足 $\\mathsf { N } ^ { k } = 0$，并称为 <u id=\"concept-4-nilpotent-matrix\" class=\"concept-term\" data-concept-identity=\"urn:uuid:e332b565-6ba9-49f9-939f-cb84097991ee\" data-concept-route=\"/concept-identities#concept-e332b565-6ba9-49f9-939f-cb84097991ee\">幂零矩阵(nilpotent matrix)</u>。由<a href=\"#equation-4-23\" class=\"cross-reference\" id=\"xref-02-jordan-canonical-form-15\" data-reference=\"equation-4-23\">式 (4.23)</a>，分解<a href=\"#equation-4-22\" class=\"cross-reference\" id=\"xref-02-jordan-canonical-form-16\" data-reference=\"equation-4-22\">式 4.22</a> 中的每个 $p _ { i } \\times p _ { i }$ 矩阵 $\\mathsf { S } _ { i }$ 都是单位矩阵的倍数加上一个幂零矩阵 $\\mathsf { N } _ { i }$，",
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