Linear Independence of Powers of "roots vector"
11218
Vandermonde Determinant
72567
Does a set of $n$ independent vectors in $R^{n}$ always span $R^{n}$?
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
31898
Sufficient conditions for $x, Ax, A^2x, ...$ being linearly indepedent
31740
Nested roots sequence, how to prove it's monotone and bounded?
30017
Orthogonality and linear independence
92202
Linear separability for a sum of kernel functions
86749
Prove that any set of vectors $S \subset \mathbb{R}^n$ containing the zero vector cannot be linearly independent
61281
Finding maximal sublist of linearly independent vectors
60111
On the converse of Schur's Lemma
145039
Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
62058
How to prove $1$,$\sqrt{2},\sqrt{3}$ and $\sqrt{6}$ are linearly independent over $\mathbb{Q}$?
95771
Rows linearly independent implies columns linearly independent
143187
Matrix power series has linearly dependent terms
4240
The proof of Triple Vector Products
112080
Proving the Product Rule for exponents with the same base