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latex-transpose.md

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+++ title = "LaTeX 矩阵转置符" categories = ["TECH","LaTeX 科技排版"] date = "2020-01-10T00:23:25+08:00" keywords = ["矩阵转置符","经验分享","技术总结","LaTeX","matnoble","数系家园","数学小兵儿"] mathjax = true series = ["latex"] tags = [""] +++

序号 语法 效果
1 \boldsymbol{A}^\mathrm{T} $\boldsymbol{A}^\mathrm{T}$ $\times$
2 \boldsymbol{A}^\top $\boldsymbol{A}^\top$ $\times$
3 \boldsymbol{A}^\mathsf{T} $\boldsymbol{A}^\mathsf{T}$ $\surd$
4 \boldsymbol{A}^\intercal $\boldsymbol{A}^\intercal$ $\surd$

3 或 4 都可, 我平常使用 3.


举个例子

$\boldsymbol{M} = \boldsymbol{A}^\mathsf{T}\boldsymbol{A}$, 则

$$ \boldsymbol{M}^\mathsf{T} = (\boldsymbol{A}^\mathsf{T}\boldsymbol{A})^\mathsf{T} = \boldsymbol{A}^\mathsf{T}\boldsymbol{A} = \boldsymbol{M} $$

所以 $\boldsymbol{M}$ 是对称矩阵.