37242 Optimisation in Quantitative Management(part 2)Let A be a square n × n matrix. Then the following statements areequivalent.I A is an invertible matrix.I Using elementary row operations A can be transformed into In.I The equation Ax = 0 has only the trivial solution.I The columns in A are linearly independent.I A is a product […]

37242 Optimisation in Quantitative Management(part 3)The theorem bellow was one of the exercises in Lecture Notes(part 1).Theorem 1Let v1, …, vk be linearly independent m-vectors and w be anm-vector such that, for some scalars α1, …, αk,α1v1 + ::: + αkvk = w: (1)If αi 6= 0, then the set of vectors, obtained from the

學生姓名 Student Name 聯絡電話 Contact Number 科目名稱及編號 Module Code & Name N5E22 Group Project 講師姓名 Lecturer Dr. Kwan 第一次上課日期 1st lesson Date 01/12/2018 派發日期 2nd lesson Date 08/12/2018 遞交期限 Submission Deadline 03/06/2019 功課交收紀錄Assignment Submission Records 日期Date 負責同事staff signature 日期/題目REDO Date/Remarks(由導師填寫) 1/ Student – 1st Submission 2/ Lecturer – 1st Take Away 3/ Lecturer – 1st

ISSN: 2456-7132Volume 8, Issue 1, pp. 143-149, 2020DOI: https://doi.org/10.21467/ias.8.1.143-149Copyright © 2019. The Author(s). Published by AIJR Publisher.This is an open access article under Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license,which permits any non-commercial use, distribution, adaptation, and reproduction in any medium, as long as the original work isproperly cited.S H O R T

Coursework – Module PDE2730-Business Processes & procurement ManagementModule Leader: Dr Homeira ShayestehOctober 2019Page 1 of 6Project 1 and 2: MDX Living Pavilion enclosure: Design and deliverelements of enclosure for Pavilion________________________________________________________________________________________________________________________________________________________________________________________________________________________1. IntroductionDepending on the outcome of first year, and based on a post-occupancy evaluation (POE) you willconduct, you are required to design and deliver elements of

1ECONOMICS AND QUANTITATIVE ANALYSIS (ONLINE)CALCULATIONS & SHORT WRITTEN RESPONSESINSTRUCTIONSUndertake the necessary calculations and prepare short written responses for the followingfour questions. Answers for each question must not exceed 250 words.Question 1 (5 marks)Special Agent Fox Mulder has a budget of $180. He spends it on conspiracy theorymagazines (good X) and UFO videos (good Y). Each

1811132 Group Project Assignment Hints1. Discuss among your team of each of your skills. You may use a table to record theskills. These are more like the soft skills for executing the following tasks likedevelop project plan; resources planning, drawings and writing specifications;produce cost plan; safety statement etc. These are mainly the project planningskills on

Use Dilworth’s theorem to derive the marriage theorem. We remark that our proof of Theorem 7.5.2 is also interesting from an algorithmic point of view, since it allows to calculate the Dilworth number of G by determining a maximal matching in the bipartite graph H, because of Δ = n − α_(H). Thus Theorem 7.5.2

Suppose we are given a supply and demand problem where the functions c, a, and d are integral. If there exists a feasible flow, is there an integral feasible flow as well? Show that a k-connected graph on n vertices contains at least _kn/2_ edges. (Note that this bound is tight; see [Har62].)

Let G = (V,E) be a k-connected graph, T a k-subset of V , and s ∈ V T. Show that there exists a set of k paths with start vertex s and end vertex in T for which no two of these paths share a vertex other than s. Show that Theorem 8.1.4 is