Show that $P_n$ is an $(n+1)$-dimensional subspace of the vector space of all real polynomials
53261
Show that Pn is an (n+1)-dimensional subspace
114146
Polynomial in $n$ variables
42362
Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals
120535
Basis of the polynomial vector space
19415
Proof that every finite dimensional normed vector space is complete
154724
Every vector space has a basis
40256
Why are these two descriptions of real n-dimensional projective space  the same?
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
65162
Show that $\dim H^0(\mathbb{P}^n, \mathcal{O}_{\mathbb{P}^n}(m)) = {n + m \choose n}$ if $m \geq 0$, and $0$ otherwise.
92510
Proving a vector space is infinite-dimensional
93062
Is Every Invariant Subspace the Kernel of an polynomial applied in the operator?
131993
Prove that vector space and dual space have same dimension
62065
Prove that $v_1, \dots v_n$ is a basis of V.
76955
Proof the Legendre polynomial $P_n$ has $n$ distinct real zeros
74465
One-dimensional vector space and it's subspaces
65494
Proper subspaces of $ R^n $
135814
Prove certain subsets of $\mathbb R^n$ are subspaces