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upload linear transformation blog
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XieYHccc committed Dec 13, 2023
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12 changes: 3 additions & 9 deletions _layouts/default.html
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2 changes: 1 addition & 1 deletion _posts/2023-11-05-Linear-Transformation-And-Matrix.md
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代数学中,空间指的是赋予了某种运算结构的集合,“变换”是空间到空间的映射,而线性变换则是线性空间到线性空间的映射。定义如下:

$V_1$ 和 $V_2$ 是两个线性空间,$f:V_1\rightarrow V_2$ 是 $V_1$ 到 $V_2$ 的映射,$K$ 是域。如果满足:
\\(V_1\\) 和 $V_2$ 是两个线性空间,$f:V_1\rightarrow V_2$ 是 $V_1$ 到 $V_2$ 的映射,$K$ 是域。如果满足:

$$ \forall u,v\in V_1, \forall c\in K $$

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