1. (a) Let A be the set of all 2 × 2 matrices of the form ‚ where a and b are real numbers‚ and a2 + b2 0. Prove that A is a group under matrix multiplication. (10) (b) Show that the set: M = forms a group under matrix multiplication. (5) (c) Can M have a subgroup of order 3? Justify your answer. (2) (Total 17 marks) 3. (a) Define an isomorphism between two groups (G‚ o) and (H‚ •). (2) (b) Let e and e be the identity elements of groups G and H respectively. Let f be
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International Baccalaureate | Gold Medal Heights SL Math IA- Type II | Turner Fenton Secondary School | Completed by: Harsh Patel Student Number: 643984 IB number: Teacher: Mr. Persaud Course Code: MHF4U7-C Due Date: November 16th‚ 2012 Introduction This report will investigate the winning heights of high jump gold medalists in the Olympics. The Olympics composed of several events evaluating
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Predictability of Social Media Usage to Grade Averages IB Math Studies Spring 2013 Table of Contents: Introduction/Purpose……………………………………………………………..p.3 Data Collection Method……………………………………………………….....p. 3 - 4 Data Analysis: Chi-Squared Statistic Frequency Table…………………………………………………………p. 4 - 5 Contingency Table……………………………………………………….p. 5 – 6 Chi – Squared Statistic…………………………………………………...p. 7 Degrees of Freedom………………………………………………………p. 7 Critical Value……………………………………………………………
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March 13‚ 2013 SLS 1501 Career Research Assignment Major: Business Administration 5 occupations that someone could pursue with this major: A. Account Executive B. Claims Adjuster C. Marketing Assistant/Coordinator D. Market Research Analyst E. Property Manager 1) Advertising Manager – Create interest by utilizing advertisements and promotions for a product or service to potential buyers for clients such as a department‚ organization‚ or an account. WebsiteURL: http://www.bls.gov/o
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* Topic 2: Cells * 2.1 Cell theory * 2.1.1 * Outline Cell Theory 1. All living organism are composed of cells 2. Cells come from pre-existing cells 3. Cells are the smallest unit of life * * 2.1.2 * Discuss the reasons for cell theory 1. When organism are looked at under a microscope‚ they are consistently made up of cells 2. Cells carry out asexual reproduction – called Mitosis 3. Cells are the smallest unit of organisms that can carry out all
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IB DIPLOMA PROGRAMME PROGRAMME DU DIPLÔME DU BI PROGRAMA DEL DIPLOMA DEL BI M07/5/MATHL/HP1/ENG/TZ1/XX/M MARKSCHEME May 2007 MATHEMATICS Higher Level Paper 1 16 pages -2- M07/5/MATHL/HP1/ENG/TZ1/XX/M This markscheme is confidential and for the exclusive use of examiners in this examination session. It is the property of the International Baccalaureate and must not be reproduced or distributed to any other person without the authorization of IBCA. -3- M07/5/MATHL/HP1/ENG/TZ1/XX/M
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In my future career I will like to become a Florida highway patrol. In order to become that I have to complete certain amount of task ‚graduate from college in criminal justice‚ and then go to the police academy‚ graduate from the police academy and serve one year as a police officer to have son experience. When I finish my year as a police officer I will apply as Florida highway patrol. I will start earning 33‚977 and after that 56‚000. If I choose this profession I
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Math SL Investigation Type 2 Stellar Numbers This is an investigation about stellar numbers‚ it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1‚ 4‚ 9‚ 16‚ 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The next three numbers after T5 would be: 21‚ 28‚ and 36. A general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has
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Planet Distance from sun (in km) Distance in scientific notation Mercury 57‚909‚000 5.7909*10^7 Venus 108‚200‚000 1.082*10^8 Earth 149‚600‚000 1.496*10^8 Mars 227‚940‚000 2.2794*10^8 Jupiter 778‚400‚000 7.784*10^8 Saturn 1‚423‚600‚000 1.4236*10^9 Uranus 2‚867‚000‚000 2.867*10^9 Neptune 4‚488‚400‚000 4.4884*10^9 (dont
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Many of us know someone with diabetes but most of us don’t know what the dieses is. Well‚ diabetes is when your body makes too much or too little insulin. Type one (juvenile/insulin dependent) diabetes is when your body does not make any insulin. The world is still looking for a cure. Type one diabetes is a condition in which the patient has high blood glucose levels that are caused by an extreme lack of insulin. This is caused when the body’s immune system attacks the
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