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Oh no, I wrote on the board in class that "every basis [for the subspace W] has three vectors, so the dimension is three" omitting the part in brackets and now some students think that every basis for *every vector space* has three vectors.
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Me: Y'all I try really hard to model good mathematical writing, not just sketching computations and writing a final answer, so pay attention to what I do! Also me: don't just rewrite the things that I write without understanding them omg