Proving that $\sin x$ and $\sin 2x$ are linearly independent
107248
Prove that the set $ \{\sin(x),\cos(x),\sin(2x),\cos(2x)\}$ is linearly independent.
40609
Prove that $f(X)$ and $g(Y)$ are independent if $X$ and $Y$ are independent
92534
Prove that any finite subset of a linearly independent set is linearly independent
142229
Prove that if $V \cap \text{Span}\{u_1, u_2,...,u_k\} = \{ 0\} $, then $Au_1, Au_2,...,Au_k$ are linearly independent
154080
circular reasoning in proving $\frac{\sin x}x\to1,x\to0$
137844
Proof of $\sin nx=2^{n-1}\prod_{k=0}^{n-1} \sin\left( x + \frac{k\pi}{n} \right)$
144557
Linearly independent functionals
94077
Proof of linear independence of $e^{at}$
144188
Prove that $\cos(z)$ and $\sin(z)$ are surjective over the complex numbers.
99105
Are the functions $\sin^n(x)$ linearly independent?
42495
Determine if the following sets of vectors are linearly independent
62058
How to prove $1$,$\sqrt{2},\sqrt{3}$ and $\sqrt{6}$ are linearly independent over $\mathbb{Q}$?
48270
How to prove that the random variables $X$ and $X^2$ are not independent?
80279
Show that $S + T$ and $aT$ are linear
109228
Prove that $v, Tv, T^2v, ... , T^{m-1}v$ is linearly independent
48586
Prove: $\cot x=\sin x\,\sin\left(\frac{\pi}{2}-x\right)+\cos^2x\,\cot x$
55752
Prove that $n+1$ vectors in $\mathbb{R}^n$ cannot be linearly independent