MathAlgebraLinear algebraLinear operators

Linear subspaces

A small candidate

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Let $V$ be a vector space. Is the set $\{0\}$ a subspace?

Select one option from the list

No, because it is not closed under linear combinations

Yes, because it is closed under sums and products by scalar and contains 0

No, because the subspaces must have infinite points

Yes, because any element of it generates a line

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