SIT292 Module 11 Self-Assessment PDF

9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment SIT292 Module 11 Self- Assessment Click on a question number to see how your answers were marked and, where available, full...

9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment SIT292 Module 11 Self- Assessment Click on a question number to see how your answers were marked and, where available, full solutions. Question Number Score Question 1 2 / 2 Question 2 1 / 1 Question 3 1.34 / 2 Question 4 0 / 1 Question 5 2 / 2 Question 6 1 / 2 Total 7.34 / 10 (73%) Unfortunately you have not achieved the minimum score. If you have tried this test several times and have not been able to pass, then it is strongly advised that you attend class to go over your results with the teaching team. You can attempt the quiz while in class, and discuss your results with the tutors. Do not attempt to try to solve this quiz on your own without understanding your mistakes first. You will likely end up spending far more time than necessary on the module. You should still use the "Print this results summary" option to save a copy of your results as a pdf, which will help with your learning and can also be shared with your tutors so they can help with certain questions. https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 1/8 9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment Performance Summary Exam Name: SIT292 Module 11 Self-Assessment Session ID: 17417144177 Exam Start: Wed Sep 25 2024 16:19:37 Exam Stop: Wed Sep 25 2024 16:40:41 Time Spent: 0:21:03 Question 1 Given the following relations on { 1, 2, 3 ,4 }, ρ1 = {(1,2),(2,3),(3,2),(4,2),(4,3),(4,4)} ρ2 = {(1,2),(1,3),(2,1),(2,3),(3,2),(3,3)} find the relation ρ1 ∘ ρ2 ∘ ρ1 and represent it as a matrix. Rows: 4 Columns: 4 0 1 0 0 0 1 1 0  0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 Expected answer: 0 1 0 0 0 1 1 0 https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 2/8 9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment Your answer is correct. You were awarded 2 marks.  You scored 2 marks for this part. Score: 2/2  Question 2 The relation on N = {1, 2, 3, 4, 5} given by, R = {(1,1),(2,1),(2,2),(2,4),(2,5),(3,3),(4,4),(5,1),(5,4),(5,5)} is reflexive symmetric antisymmetric transitive none of these  Expected answer: reflexive symmetric antisymmetric transitive none of these Your answer is correct. You were awarded 1 mark.  You scored 1 mark for this part. Score: 1/1  https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 3/8 9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment Question 3 Consider the following Hasse diagram depicting a partial order on the set {1, 2, 3, 4, 5, 6} 4 1 6 2 3 5 which of the following ordered pairs are NOT in the partial order? (3,4) (4,6) (1,3) (5,1) (6,3) Expected answer: (3,4) (4,6) (1,3) (5,1) (6,3)  You chose a correct answer. You were awarded 0.67 marks.  You chose a correct answer. You were awarded 0.67 marks.  You scored 1.34 marks for this part. Score: 1.34/2  https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 4/8 9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment Question 4 The matrix below represents a binary relation on { 1, 2, 3, 4, 5 } ⎛1 0 0 0 1⎞ ⎜0 0⎟ ⎜ ⎟ 1 0 1 A=⎜ ⎜0 0⎟ ⎟ ⎜ ⎟ 0 1 0 ⎜0 1 0 1 0⎟ ⎝1 0 0 0 1⎠ The relation is a partial order an equivalence relation neither a partial order nor an equivalence relation both an equivalence relation and a partial order  Expected answer: a partial order an equivalence relation neither a partial order nor an equivalence relation both an equivalence relation and a partial order You chose an incorrect answer.  You scored 0 marks for this part. https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 5/8 9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment Score: 0/1  Question 5 The Hasse diagram below represents a binary relation on { 1, 2, 3, 4, 5, 6, 7, 8 } 7 2 1 5 6 8 3 4 For each of the following subsets, provide the greatest/least element. If there is no greatest/least element, enter the value 0. Expected answer: 7 The greatest element of {1,4,7} is 7  Expected answer: 2 The greatest element of {2,3,8} is 2  Expected answer: 3 The least element of {2,3,8} is 3  Expected answer: 3 The least element of {2,3,5} is 3  Gap 0 Your answer is correct. You were awarded 0.5 marks.  https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 6/8 9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment Gap 1 Your answer is correct. You were awarded 0.5 marks.  Gap 2 Your answer is correct. You were awarded 0.5 marks.  Gap 3 Your answer is correct. You were awarded 0.5 marks.  You scored 2 marks for this part. Score: 2/2  Question 6 The Hasse diagram below represents a binary relation on { 1, 2, 3, 4, 5, 6, 7 } 5 1 7 6 4 3 2 Is the relation a lattice? https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 7/8 9/25/24, 4:41 PM SIT292 Module 11 Self-Assessment yes it is a lattice no it is not a lattice Expected answer: yes it is a lattice no it is not a lattice  If it is a lattice, check the pair below corresponding with the least and greatest elements of the set. If it is not a lattice, check all pairs that do not have a least upper bound and/or do not have a greatest lower bound. [ 2, 5 ] [ 5, 7 ] [ 1, 2 ] [ 1, 6 ] [ 2, 6 ] Expected answer: [ 2, 5 ] [ 5, 7 ] [ 1, 2 ] [ 1, 6 ] [ 2, 6 ]  Gap 0 You chose a correct answer. You were awarded 1 mark.  Gap 1 Your answer is incorrect.  You scored 1 mark for this part. Score: 1/2  Created using Numbas (https://www.numbas.org.uk), developed by Newcastle University (http://www.newcastle.ac.uk). https://d2l.deakin.edu.au/content/enforced/1423514-SIT292_TRI-2_2024/NUMBAS-self-assessments/Adv-Module-11/index.html?isCourseFile=true&o… 8/8