Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 145

Find a commutable matrices of an upper triangular matrix?

We have an upper triangular matrix A=（aij）n*n i<=n,j<=n; if i>=j, aij=1; else aij=0; how to find a matrix B，st. AB=BA?...

Asked on 01/21/2021 by Larry G

1 answer

If A is nilpotent, and B is an invertible matrix of the same order as A and AB =BA, then B- A is invertible.

proof I am quite sure that my proof is wrong, because I did not use the fact that AB= BA in the proof, is there a way...

Asked on 01/20/2021 by user624

1 answer

Order of derivatives in automatic differentiation

I did this derivation and want to know if it is correct. Basically, we want to know the gradient of $f$ at the point $g(M)$. Let $Psi...

Asked on 01/20/2021 by Niki

0 answer

What kind of curvature?

In many papers of semi-Riemannian geometry, when they talk about curvature (constant or bounded) they don't precice which kind of curvature they talk about. I know the definition of:...

Asked on 01/20/2021 by Jongar Jongar

1 answer

Modular quadratic equation help

our professor gave us one "equation to think at" (as he says). I tried to "think at" since friday but I don't know how to handle it properly and (if...

Asked on 01/20/2021 by Davinator

1 answer

A simple geometric distribution word problem

I am stuck with what should be a simple probability problem. There is an algorithm for choosing advertisements from $m$ pages. The $i$th page has $n(i)$ advertisements,...

Asked on 01/20/2021 by mikabozu

1 answer

What is the mean curvature of an infinitely long cylinder?

Can someone help me understand how I can calculate the mean curvature of an infinitely long cylinder of radius $R$? I know the definition of mean curvature as ...

Asked on 01/20/2021 by dancer

2 answer

How to define a group object given an object $a$ in a finitely complete category $C$

Let $C$ be a finitely complete category and $ain C$. Since $C$ is finitely complete, there exists (i.e. pullback) unique morphisms $m,n:atimes arightarrow a$ such that...

Asked on 01/20/2021 by Falq

1 answer

Given N independent random variables, when does independence stops holding?

I have the following problem:Given $X_1, X_2..X_N$ independent r.v. ${X_1,X_4 X_1}$ are independent of ${X_3,X_2X_1}$, but $X_4$ is not independent from $X_4 X_1$ Is...

Asked on 01/19/2021 by nico_so

2 answer

Rolle's theorem problem prove by contradiction

Given $0≤b$ we need to prove the $cos(x)=bx$ has one and only solution in $[0,0.5π]$So I first checked for $b=0$ and we get $cos...

Asked on 01/19/2021 by Adamrk

0 answer

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