Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 140

express a matrix using Kronecker product

How to express the following matrix as a Kronecker product of two $2times 2$ matrices: begin{equation*}A =begin{pmatrix}0 & 0 & 0 & 1+j \0...

Asked on 01/25/2021 by Jyothi Jain

0 answer

Approximating multiples of reals with integers

I have recently recalled a problem from my school days, where I was asked if for every $varepsilon > 0$ there exist positive integers $m, n$ such that...

Asked on 01/25/2021

1 answer

How is this sentence written correctly in maths? (sets)

A subfamily of $l$ sets $A_i$ with $1 leq l < n$ is a "critical family", if its union contains exactly $l$ elements. (Information so you...

Asked on 01/25/2021 by eyesima

0 answer

Let $n$ be an integer. If the tens digit of $n^2$ is 7, what is the units digit of $n^2$?

Let $n$ be an integer. If the tens digit of $n^2$ is 7, what is the units digit of $n^2$?So $n^2 equiv 7 pmod{100}$? If this...

Asked on 01/24/2021 by user713999

6 answer

Partitioning $mathbb{R}$ for given functions.

Let $f,g$ be two real valued bounded measurable functions. I'd like to construct two Borel sets $O_1$ and $O_2$ of $mathbb{R}$ such that they partition ...

Asked on 01/24/2021

0 answer

How to count the number of symmetries of a 3-d object?

Suppose, I have 3-d shape with a finite number of sides, what would be the general procedure for finding how many symmetries it has? For example, suppose I have a...

Asked on 01/24/2021

1 answer

Is checking really needed?

I recently bought Pinter's A book of Abstract Algebra and I came to Examples (Chapter 2). Now, I do not understand why are "Checks" in (iii), (iv) needed because we...

Asked on 01/24/2021 by 1b3b

3 answer

Struggling to understand proof, there is no simple group of order $525$

Prove there is no simple group of order $525.$ $N(H)$ is the normalizer of a set $H$. Proof:Let $L_7$ be a Sylow $7$ subgroup of...

Asked on 01/24/2021 by Scott Frazier

1 answer

prove the following compact result about $GL(n,mathbb{R})$

Let $K$ be a compact subset of $mathbb{R}^n$: prove for any $Ain GL(n,mathbb{R})$ (endowed with Euclidean topology),there exist some neighborhood $U(A)subset GL(n,mathbb{R})$ near $A$ and...

Asked on 01/24/2021

1 answer

i need to proove that An∪B→A∪B

If $A_nrightarrow A$, show that $(A_n cup B) rightarrow (A cup B)$. My attempted solution used $lim inf(A_n cup B)$ and lim sup but I'm not sure how...

Asked on 01/24/2021 by MeThodCl

1 answer

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