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1C p15

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Signed-off-by: szdytom <szdytom@qq.com>
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方而静 2025-07-09 16:05:20 +08:00
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@ -421,4 +421,10 @@
#tab 这表明 $u in S$，即 $U + W subset.eq S$。综上所述，$S = U + W$。
#tab 不使用符号的描述：$U + W$ 是 $FF^3$ 中第三个分量是第一个分量的两倍的所有元素构成的集合。
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]
#exercise_sol(type: "answer")[
设 $U$ 是 $V$ 的子空间，那么 $U + U$ 是什么？
][
由子空间加法封闭性可知，$U + U = U$。
]