$P = \{x \in \Bbb R^n \mid x \cdot v = 0\}$ is a subspace of $\Bbb R^n$
135814
Prove certain subsets of $\mathbb R^n$ are subspaces
67394
How to interpret $\mathbb{P}(B|A)$ when $\mathbb{P}(A) = 0$
144112
Show that $c_0$ is a Banach space with the norm $\rVert \cdot \lVert_\infty$
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space
84830
Vector space of infinite sequences in $\Bbb R$
92774
Prove that a linear subspace of $C([0,1])$ is closed
111665
How prove this $\{a\}\cdot\{b\}\cdot\{c\}=0$ if $\lfloor na\rfloor+\lfloor nb\rfloor=\lfloor nc\rfloor$
47975
Closed cone in the euclidean space $\mathbb{R}^n$
33642
Finite dimensional subspace of $C([0,1])$
110876
Prove that $p\mid \binom{p}{k},\ 0< k< p$
99300
Prove if $W \subset V$ is a subspace such that $T(W)\subset W$, then $V/W$ is finite-dimensional.
92291
$U_1, U_2, ..., U_k$ subspaces of linear space $X$ with same dimensions, prove $X=U_1\oplus V=U_2\oplus V=...=U_k\oplus V$
73690
If $\mathbb R^3\setminus V$ connected where $V$ is the subspace generated by $\{(1,1,1),(0,1,1)\} $
27170
$a\in \mathbb{N}$, $p$ prime, $a<p$ prove that $a\mid p+1\iff\exists\, b,c\in\Bbb N:\dfrac{a}{p}=\dfrac{1}{b}+\dfrac{1}{c}$
91022
How do I prove that a subspace of a vector space $X$ is the null space of some linear functional on $X$?
778
For $x∈\mathbb{R}^n$ , let $B(x,r)$ denote the closed ball in $\mathbb{R}^n$(with Euclidean norm) of radius $r$ centered at $x$
125785
Minimal polynomial of restriction to invariant subspace divides minimal polynomial