Mat2611 Exam Pack 2023 Latest Questions And Answers

MAT2611 EXAM PACK 2023LATEST QUESTIONS AND ANSWERSAssignment PACK 2022MAT2611Assigment FeedbackQuestions. AnswersBARCODEDefine tomorrow.universityof south africaLINEAR ALGEBRAMAT2611Department of Mathematical SciencesThis tutorial letter contains solutions for assignment 01. MAT2611/201/1/2020Problem 1. Answer Exercise 2.22 from Addendum C. [10 marks]Solution 1. The power set P(A) of a set A is the set of all subsets of A, i.e. we haveT P(A) T A.Since A (always, Why? )and A A always, the set P(A) always has at least the members and A, always.As for example, since T T = , we have:P() = {}.Similarly, since T {} if and only if either T = or else T = {}, we have:P({}) =, {} .Similarly:P({{}}) = , {{}}P({, {}}) = , {}, {{}}, {, {}}The rest can be figured out now.Guess the number of elements of P(A) if A has exactly n elements and prove your guess.Problem 2. Answer Exercise 3.12 & Exercise 3.13 from Addendum C. [5 + 5 = 10 marks]Solution 2. Recall that X f Y if the following three conditions are satisfied:(a) f X Y(b) For each p X there exists a q Y such that (p, q) f .(c) If (p, q) f and (p, q 0) fthen q = q 0.Given