Show that a list of polynomials is a basis of the subspace _U_ of $P_3$(R)
101506
Why is $1, (x-5)^2, (x-5)^3$ a basis of $U=\{p \in \mathcal P_3(\mathbb R) \mid p'(5)=0\}$?
112900
Eigenvalue of a polynomial evaluated in a operator
129109
Is the set of polynomial with coefficients on $\mathbb{Q}$ enumerable?
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
127304
Understanding the algebra of polynomials on a linear space
113779
If $P$ is an orthogonal matrix its columns form an orthonormal set.
100749
How to find bases for a subspace defined by an equation
2677
Baire: Show that $f\colon \mathbb{R}\to\mathbb{R}$ is a polynomial in an open bounded set
132059
Minimal polynomials and cyclic subspaces
94929
Proof that the all bases of a subspace V consist of the same number of vectors?
135814
Prove certain subsets of $\mathbb R^n$ are subspaces
53261
Show that Pn is an (n+1)-dimensional subspace
52888
Find all values of a for which $\{v_1,v_2,v_3\}$ form a basis for ${\bf R}^3$
1962
Polynomial $P(a)=b,P(b)=c,P(c)=a$
83116
Uncountability of basis of $\mathbb R^{\mathbb N}$
48113
Find a basis for the vector space of symmetric matrices with an order of $n \times n$
73286
Show that the set of all symmetric, real matrices is a subspace, determine the dimension