To prove linear independence of given functions
50451
The linear dependence of exponential functions
42206
Elementary proof, convergence of a linear combination of convergent series
102856
Intersection of kernels and linear dependence of functionals
152495
Prove that if $X$ and $Y$ are Normal and independent random variables, $X+Y$ and $X-Y$ are independent
18967
Linear independence of $\sin(x)$ and $\cos(x)$
6869
The square roots of different primes are linearly independent over the field of rationals
140711
Linear independence of images by $A$ of vectors whose span trivially intersects $\ker(A)$
107248
Prove that the set $ \{\sin(x),\cos(x),\sin(2x),\cos(2x)\}$ is linearly independent.
10181
Entire one-to-one functions are linear
92600
Let $V$ be a $K$-vector space, $f: V \rightarrow V$ a linear map. Under some condition, show that $v, f(v),...,f^n(v)$ are linearly independent.
93910
Equality in Cauchy-Schwarz Inequality implies linear dependence.
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
146055
Proving a set of functions is uncountable
107641
Show that an infinite set of families are linearly independent
83173
Prove linear combinations of logarithms of primes over $\mathbb{Q}$ is independent
822
Given that $X,Y$ are independent $N(0,1)$ , show that $\frac{XY}{\sqrt{X^2+Y^2}},\frac{X^2-Y^2}{2\sqrt{X^2+Y^2}}$ are independent $N(0,\frac{1}{4})$
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)