SME
Linear Algebra · Problem type
Is it a subspace?
Use this for “Is the set of points with y = 3x − 2 a subspace of ℝ²?”
Sort
Test 0 first, then a sum and a multiple of vectors in the set.
Tap a card, then tap its group.
Assumptions
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A subspace holds 0 and is closed under adding and scaling.
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One failure is enough: a set without 0, or a sum or multiple that leaves the set, is not a subspace.
Topic check
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