NURS 6501 Advanced Pathophysiology WEEK 8 Quiz with Answers | All Correct

$ 9

AHIP - Final examination | 50 Questions with 100% Correct Answers

$ 10

AHIP 2022 Exam Prediction Questions | 115 Questions with 100% Correct Answers

$ 12

M6: Exam- Requires Respondus LockDown Browser., EXAM REVIEW QUESTIONS WITH ACCURATE ANSWERS. 100% PROVEN PASS RATE.

$ 8

> GCE Chemistry A H032/02: Depth in chemistry Advanced Subsidiary GCE Mark Scheme for Autumn 2021

$ 10

Texas Master Plumbing Actual Exam with 200 Questions and 100% Correct Answers

$ 18.5

AQA 2022 MATHEMATICS A LEVEL QUESTION PAPER 2

$ 5

Pearson Edexcel GCE Question Booklet + Mark Scheme Additional Assessment Materials Summer 2021 Pearson Edexcel GCE in History 9HI0 2E.2 Resource Set 1: The German Democratic Republic, 1949–90 Set 2

$ 9

Simulation #2 ASM Exin | 40 Questions with 100% Correct Answers

$ 10

AQA GCSE MATHEMATICS 8300/3H Higher Tier Paper 3 Calculator Mark scheme June 2021 Version: 1.0 Final

$ 8

MAT 510 Week 1 Data Collection Practice

$ 2.5

Milestone 5 questions with answers 2022

$ 8

Basic Network Commands WGU C172 Questions and Answers with Verified Solutions

$ 7

C++ Primer Plus 6e Stephen Prata (Solution Manual)

$ 25

ENG 115UNIT 2 - CHALLENGE 2 Steps in the Writing Process. SUMMER 2020 Content. 100% Score With Explanation.

$ 8.5

Mark Scheme (Results) January 2021 Pearson Edexcel International GCSE In Physics (4PH1) Paper 2PR

$ 9

(GRADED) NR 535 Week 6 Assignment: Teaching Plan Template – Proper technique for changing a triple lumen catheter

$ 10

Enterprise Data Management Implementer Certification 2024 / EDMI Exam Prep / 450+ Practice Questions

$ 6.5

WGU C859 PYTHON EXAM 50+ QUESTIONS AND ANSWERS COMPLETED 2025.

$ 8

OCR A Level Further Mathematics B (MEI) Y433/01 Modelling with Algorithms Wednesday 8 June 2022 – Afternoon

$ 15

CNA Written Exam ( prometric practice test ) Questions And Answers( With Complete Top Solution Latest Update 2022.

$ 12.5

Chapter 17 • fire control Questions With Answers 2022

$ 10

Mathematics > QUESTION PAPER (QP) > University of TorontoBMAT 301BMidterm solutions 2015 summer (All)

University of TorontoBMAT 301BMidterm solutions 2015 summer

Document Content and Description Below

University of Toronto - St. George MAT301 - Midterm solutions - Wednesday, June 17, 2015 110 minutes Make sure you have 7 pages. Student’s Information (please PRINT) Surname: First Name: Stud ... ent Number: PUT INSTRUCTIONS HERE. Q Mark Question 1 /20 Question 2 /10 Question 3 /10 Question 4 /20 Question 5 /20 Question 6 /20 Total /100 2 Question 1. (20 marks) Let G = 8<: 0@ a b c d 1A : a + d = b + c; a; b; c; d 2 R 9=; Show that G is a group under (the usual) matrix addition. Solution: Notice that matrix addition is associative (2nd year linear algebra). Given A; B 2 G, then A = 0 @x y z w1 A ; B = 0 @xz11 wy111 A for some x; y; z; w; x1; y1; z1; w1 2 R with x + w = y + z; x1 + w1 = y1 + z1 ) (x + x1) + (w + w1) = (y + y1) + (z + z1). That is, A + B = 0 @x y z w1 A + 0 @xz11 wy111 A = 0 @xz ++ xz11 wy ++ wy111 A 2 G This proves closure. Notice that E = 0 @0 0 0 01 A 2 G Moreover, A + E = A = E + A for all A 2 G. Hence, E is the identity element. Given A 2 G, then A = 0 @x y z w1 A for some x; y; z; w 2 R with x + w = y + z ) -x - w = -y - z. That is, -A 2 G. Moreover, A-1 = -A (since we are under addition and A + (-A) = E = (-A) + A). 3 Question 2. (10 marks) Suppose x 2 G (G a group) and jxj = 7. Show that x is the cube of some element in G. That is, there exists a 2 G such that x = a3. Solution: Since jxj = 7 ) x7 = e ) x7k = e for any integer k. Let a = x5. Then a3 = (x5)3 = x15 = x14x = ex = x [Show More]

Last updated: 3 years ago

Preview 1 out of 7 pages

Buy Now

Instant download

We Accept: