[Everyday Mathematics]20150119
2015-01-07 09:09
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设 $V$ 是 $n$ 维线性空间, $V_1, V_2$ 均为 $V$ 的子空间, 且 $$\bex V_1\subset V_2,\quad \dim V=10,\quad \dim V_1=3,\quad \dim V_2=6. \eex$$ 试求 $$\bex \dim\sed{T:V\to V\mbox{ 是线性映射};\ V_1,V_2\mbox{ 均为 }T \mbox{ 的不变子空间}}. \eex$$
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