Let $M$ be a non-empty proper subset of a vector space $X$ over $\mathbb R$ and $t$ belongs to $X$, then $M$ is a maximal subspace if and only if $t+M$ is a hyperplane and $t$ belongs to $t+M$.
2026-03-20 04:03:09.1773979389
How can I prove $M+t$ is a hyperplane if $M$ is a maximal subspace
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