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        "quote": "设 $V$ 为复向量空间，$S : V \\to V$ 为 $V$ 上的线性算符。总结上述结论：存在 $V$ 的一个基，使得算符 $S$ 在该基下的矩阵 $S$ 具有分块对角形式 <a href=\"#equation-4-22\" class=\"cross-reference\" id=\"xref-02-jordan-canonical-form-19\" data-reference=\"equation-4-22\">Eq. (4.22)</a>，且每个 $\\mathsf { S } _ { i }$ 都具有形式 $\\mathsf { S } _ { i } = \\lambda _ { i } \\mathsf { I } + \\mathsf { N } _ { i }$，其中 $\\mathsf { N } _ { i }$ 是幂零矩阵。此后还可以进一步特殊化该基，使得每个幂零矩阵又分解为分块对角形式 <a href=\"#equation-4-26\" class=\"cross-reference\" id=\"xref-02-jordan-canonical-form-20\" data-reference=\"equation-4-26\">Eq. (4.26)</a>，使得沿对角线的子矩阵都具有形式 <a href=\"#equation-4-25\" class=\"cross-reference\" id=\"xref-02-jordan-canonical-form-21\" data-reference=\"equation-4-25\">Eq. (4.25)</a>。这称为矩阵 $S$ 的 <u id=\"concept-4-jordan-canonical-form\" class=\"concept-term\" data-concept-identity=\"urn:uuid:59e47f44-f852-42f8-ab47-64d212447691\" data-concept-route=\"/concept-identities#concept-59e47f44-f852-42f8-ab47-64d212447691\">若尔当标准形(Jordan canonical form)</u>。",
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