一次与高次伴随阵和准伴随阵及其特征值与特征向量 |
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摘 要: | 本文由 n 阶方阵 A 的一次伴随阵 A 的若干性质导出一次准伴随阵 A 和类似性质。讨论了 A 与 A 在秩为 n 和1两种情形的特征值、特征向量与 A 的特征值、特征向量之间的关系。给出并证明了高次伴随阵 A~((m))和准伴阵~((m))■A 的计算公式及其特征值与特征向量的计算方法。
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关 键 词: | 伴随矩阵 准伴随矩阵 特征值 特征向量 |
On One—order and High—order Adjoint Matrices and Quasi Adjoint Matrices and Their Characteristic Value and Vector |
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Authors: | Yin Guomin |
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Abstract: | Based on characteristics of the I—order adjointmatrix A~*of n—order square matrix the similar characteristicof I—order quasi adjoint matrix~*A is derived.The calculatingformula of high—order adjoint matria A~(*(m))and quasiadjoint matrix A~(*(m))A and the calculating method of their characeristic Value and Vector are given and prvled. |
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Keywords: | Ad joint matrix Quasi ad joint matrix Characteristic value Characteristic vector |
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