Why in $\mathbf{R}^2$ the only nontrivial subspaces are lines passing 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
41347
The dimension of the intersection of two vector subspaces
150442
What does a linear transformation do to a vector in $\mathbb{R}^2$
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
154628
What should we understand from the definition of orthogonality in inner product spaces other than $\mathbb R^n$?
150135
The intersection of an infinite number of subspaces is a subspace
48598
What's the difference between $\mathbb{R}^2$ and the complex plane?
124688
Question about a metric on $\mathbb{R}^2$
43282
Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?
92599
Prove there generally is no isomorphism between $R[x]/(x^2-a)$ and $R^2$
1162
Why $\{\mathbf{0}\}$ has dimension zero?
76160
Dimension of the sum of two vector subspaces
18913
How to find a basis for the intersection of two vector spaces in $\mathbb{R}^n$?
35625
Direct sum of orthogonal subspaces
67191
When is the union of a family of subspaces of a vector space also a subspace?
139951
Direct Sum of vector subspaces
81375
Why does $V(I(S))=\overline{S}$?