Mathematics
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algo
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All Questions Answers
Score Newest
question
4
Prove that $v\in V$ such that $\| v\|=1$ and $\| T(v)\|_W = \max\limits_{\Vert u \Vert_V = 1} \Vert T(u) \Vert_W$ is an eigenvector of $T^*T$
Feb 2
question
3
Find the solutions of : $(x^2-2)x^2y''-(x^2+2)xy'+(x^2+2)y=0$
Mar 17
question
3
$A,B$ matrices $n \times n$ have the same eigenvectors. $M_A=(x+1)^2, P_B=x^5.$ Prove $B^3=0.$
Sep 26, 2021
question
3
Equivalence-relations overcounting
Oct 3, 2021
question
3
$AB=Y = y + y'(x) (X-x)$ $PG= Y = y - \frac{1}{y'(x)} (X-x)$ Find the curves such that $PM=MG$.
Nov 20, 2021
question
3
Prove $f$ injective implies $o(f(g)) = o(g)$.
May 10
question
3
Let $\mathbb{Z}^n, n\in\mathbb{N}$ be a free abelian group. Prove the intersection of index $h$ subgroups is the subgroup $(h\mathbb{Z})^n$.
Jun 19
question
2
Prove $\phi^{-1}(\phi(H))=\langle H,\ker\phi \rangle$
Jun 5
question
2
Let $G$ be a group with $n$ conjugacy classes. Prove there is a maximum $2^{n-1}$ normal subgroups.
Jun 18
question
2
Prove $\{\sigma\in S_\Bbb N\mid\sigma(x)= x\text{ for all but finitely many }x\in\Bbb{N}\}$ is not finitely generated
Jun 6

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