Conjugate[...]不等于MatrixFunction[Conjugate, ...]

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1. Conjugate[{{0, 1}, {-1, 0}}]

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{{0, 1}, {-1, 0}}

1. MatrixFunction[Conjugate, {{0, 1}, {-1, 0}}]

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{{0, -1}, {1, 0}}

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关于 MatrixFunction[Conjugate, ...] 见non-holomorphic functional calculus for matrices

Definition 2.5. Let $A \in \mathbb{M}_n(\mathbb{C})$ be given in the Jordan canonical form as
\[
A=T(D+N) T^{-1}
\]
where $D$ is a diagonal matrix consisting of the eigenvalues. Then the conjugate $A^c$ is given by
\[
A^c=T \bar{D} T^{-1} .
\]

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适用于一楼的例子

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