Showing $\{\sin(2^kx): k\in \mathbb{N}\}$ is linearly independent
6291
Proving something is a linearly independent subset
68561
How to show $\lceil ( \sqrt3 +1)^{2n}\rceil$ where $n \in \mathbb{ N}$ is divisible by $2^{n+1}$
57626
Are Jordan chains always linearly independent?
55752
Prove that $n+1$ vectors in $\mathbb{R}^n$ cannot be linearly independent
140711
Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
137844
Proof of $\sin nx=2^{n-1}\prod_{k=0}^{n-1} \sin\left( x + \frac{k\pi}{n} \right)$
53857
Showing $\sup \{ \sin n \mid n\in \mathbb N \} =1$
37813
If $T\colon \mathbb R^n \to \mathbb R^n $ linear and $T^2 = kT$
39409
$X_1,...,X_n$ be independent RVs and $X_i \perp \mathcal F $ for $1\ \leq \forall i \leq n$. Show that $\sigma (X_1,...,X_n) \perp \mathcal F$
42495
Determine if the following sets of vectors are linearly independent
110635
Proving $\mathbb{N}^k$ is countable
134439
Proving function is $C^k$
94425
What is $\sup(\sin(n))$?
150141
Showing $X$, $Y$ are not independent but $\operatorname{Cov}[X, Y] = 0$
135641
Algebraic independence of exponentials
69509
Showing a Linear Transformation is invertible
86749
Prove that any set of vectors $S \subset \mathbb{R}^n$ containing the zero vector cannot be linearly independent