Show that the subspaces of R2 are precisely {0}, R2, and all lines in R2 through the origin.
125212
How to Show that the Only Subspaces of $R^2$ are the zero subspace, $R^2$ itself, and the lines through the origin
139951
Direct Sum of vector subspaces
130156
Image of the union and intersection of sets.
92774
Prove that a linear subspace of $C([0,1])$ is closed
22295
Subspace of a separable space is separable
2575
Showing that $\mathbb{R}$ is connected
30796
Is the set of irrationals separable as a subspace of the real line?
16582
Show that $n$ lines separate the plane into $\frac{n^2+n+2}{2}$ regions
69893
An inner product space and its proper closed subspace with trivial orthogonal complement
100749
How to find bases for a subspace defined by an equation
154724
Every vector space has a basis
15576
Addition of two subspaces
139988
Counter example for a result of intersection of subspaces
135814
Prove certain subsets of $\mathbb R^n$ are subspaces
105014
Is the zero vector in $\mathbb{R}^n$ by itself a subspace of $\mathbb{R}^n$?
8456
Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane
112939
Find a basis for the subspace of $\mathbb{R}^4$ spanned by the given vectors.