Mathematics
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wengen's user avatar
wengen's user avatar
wengen
  • Member for 1 year, 7 months
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All Questions Answers
Score Newest
question
5
Does this serie converge ? $\sum_{n=1}^{\infty} \frac{1}{n^3 - 5n}$
Oct 25
question
5
Prove with induction if $A= \begin{pmatrix}2&1\\-1&0 \end{pmatrix}$ $\forall n \in \mathbb{N}$ $A^n= \begin{pmatrix} n+1&n\\-n&1-n \end{pmatrix}$
Sep 29
question
4
Show $f(x)=1/x$ and $g(x)=(x-1)/x$ produce a group of functions isomorphic to the symmetric group $S_3$ when binary operation is used as map.
Oct 7
question
4
For what $\lambda \in \mathbb{R}$ is this a spanning set (Erzeugendensystem) of the vector space $\mathbb{R}^3$ ? {(1, 3, 4), (1, λ, 5), (1, 4, 3)}
Nov 1
question
4
For an endomorphism $f:V\to V$ the set of fixed points of $f$ is defined as Fix($f$) $= \{v\in V:f(v)=v\}$ Show Fix$(f)\subseteq V$ is subspace of $V$
Nov 10
question
4
Let $U, W$ be subspaces of finite dimensional Vector Space $V$ over $K$ with $\dim U + \dim W > \dim V$. Show that $U \cap W \neq$ {$0$}.
Nov 3
question
3
Does this sum converge? Does it converge absolutely? $\sum_{n=1}^{\infty} \frac{(-1)^n}{n-\sqrt{n-1}}$
Oct 26
question
3
Show that $\lim_{n \to \infty} x_n = a \implies \lim_{n \to \infty} |x_n| = |a|$
Oct 11
question
3
Evaluate $\lim_{n \to \infty} \frac{n^n + n!}{2^n + (n + 1)^n}$
Oct 9
question
2
Let $V$ be a vector space over $K$ and $0 \neq f \in V^*$. Show that for each $v \in V$ with $f(v) \neq 0$ it holds: $V = Kv \oplus \text{Kernel} (f)$ [duplicate]
Nov 12
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Two MacBook Pro with same model number (A1286) but different year

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