Dimension of Vector Space and Subspace Proof.
106408
Prove that if W is a subspace of a finite dimensional vector space V, then dim(W) ≤ dim(V).
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
69206
A finite-dimensional vector space cannot be covered by finitely many proper subspaces?
106670
Existence of vector space complement and axiom of choice
33642
Finite dimensional subspace of $C([0,1])$
26989
Show that C[0,1] is a vector space
19415
Proof that every finite dimensional normed vector space is complete
27478
Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
99300
Prove if $W \subset V$ is a subspace such that $T(W)\subset W$, then $V/W$ is finite-dimensional.
37119
Determine Which of the following Sets is a Vector Space
17495
Show that the vector space of all continuous real-valued functions is infinite-dimensional
76160
Dimension of the sum of two vector subspaces
53850
Proof that every normed vector space is a topological vector space
123665
A question in Subspaces in linear algebra
4319
Vector space can be written as direct sum of subspaces
15560
Prove that the union of three subspaces of $V$ is a subspace iff one of the subspaces contains the other two.
15300
How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)