# Subspace

A sub­space $$U=(F_U, V_U)$$ of a Vec­tor space $$W=(F_W, V_W)$$ is a vec­tor space where $$F_U = F_W$$ and $$V_U$$ is a sub­group of $$V_W,$$ and $$V_U$$ is closed un­der scalar mul­ti­pli­ca­tion.

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