query: Is union of two subspace a subspace too?
positive_passages.docid: 11301
positive_passages.text: Union of two vector subspaces not a subspace?
negative_passages.docid: 13132
negative_passages.text: If the union of two sets is contained in the intersection, then one is contained in the other ($[A\cup B\subseteq A\cap B]\implies A \subseteq B$)
negative_passages.docid: 4374
negative_passages.text: Geometric interpretation of a vector space and subspace?
negative_passages.docid: 22295
negative_passages.text: Subspace of a separable space is separable
negative_passages.docid: 14713
negative_passages.text: $X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
negative_passages.docid: 41013
negative_passages.text: Subspace of $C^3$ that spanned by a set over C and over R
negative_passages.docid: 130156
negative_passages.text: Image of the union and intersection of sets.
negative_passages.docid: 70021
negative_passages.text: Verify if symmetric matrices form a subspace
negative_passages.docid: 48579
negative_passages.text: How to find the orthogonal complement of a subspace?
negative_passages.docid: 145668
negative_passages.text: Subspaces of $\ell^{2}$ and $\ell^{\infty}$ which are not closed?
negative_passages.docid: 140668
negative_passages.text: Union of $2$ set $A, B$ where $ A$ is a subset of $B$
negative_passages.docid: 59531
negative_passages.text: Do $T$-invariant subspaces necessarily have a $T$-invariant complement?
negative_passages.docid: 18373
negative_passages.text: Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
negative_passages.docid: 51397
negative_passages.text: If a field $F$ is such that $\left|F\right|>n-1$ why is $V$ a vector space over $F$ not equal to the union of $n$ proper subspaces of $V$
negative_passages.docid: 107056
negative_passages.text: Notation for Subspaces
negative_passages.docid: 145912
negative_passages.text: Whether the image is a subspace of a linear transformation
negative_passages.docid: 14429
negative_passages.text: dimension of a subspace spanned by two subspaces