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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Topic 9: Plant Science 9.1 Plant Structure and Growth 9.1.1 Draw and label plan diagrams to show the distribution of tissues in the stem and leaf of a dicotyledonous plant. Cross-section of a stem Part of plant | Purpose | Epidermis | Surface of the stem made of a number of layers often with a waxy cuticle to reduce water loss | Cortex Tissue | Forming a cylinder of tissue around the outer edge of the stem. Often contains cells with secondary thickening in the cell walls which provides
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Review Questions 1.1 1. What is a ‘business’? A business is a decision-making organisation involved in the process of using inputs to produce goods and/or provide services. 2. What are the purposes of business activity? Businesses exist to satisfy the needs and wants of people‚ organisations and governments. Needs – are the basic necessities that a person MUST have in order to survive. Wants – are the desires that people have. Wants are said to be infinite since people always want more
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Review Questions 1.6 1. Explain the meaning of ‘operational’‚ ‘tactical’ and ‘strategic’ decision-making. Operational Decisions refer to the routine and day-to-day decisions‚ such as those handled by junior management‚ e.g. deciding when a worker should go for their break and how to deal with customer enquiries and complaints Tactical Decisions refer to regular and short-term decisions that are normally handled by middle management‚ e.g. decisions about pricing strategies or recruitment and
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Review Questions 1.8 1. What is meant by ‘change management’? Change management refers to processes and techniques used to plan‚ implement and evaluate changes in business operations in order to achieve a required objective 2. List four factors that cause change within the organisation. There are six main factors that will influence change: * Customers demand better quality products at competitive prices. Customers may also change their habits and tastes‚ such as the desire to purchase
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Mustafa ***** Mrs ***** English A: Literature 20th of Feb ‚ 2013 Reflective statement for Women At Point Zero To what extent does the student show how his or her understanding of cultural and contextual elements was developed through the interactive oral ? I think time and place are one of the most important settings in the novel since as we know Cairo have a huge amount of unemployment as women at that time didn’t continou their education so having a secondary school certificate didn’t allow
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Enzyme Catalysis Lab: Laboratory Write Up Problem/Question: What happens to the amounts of gas produced in a catalyzed reaction of Hydrogen Peroxide when the catalyst is mixed with an acid? Theory/Hypothesis: In this experiment the researcher and their team will be performing tests on a catalyst (proteins found in potato) to see what will happen when the catalyst in a Hydrogen Peroxide reaction is treated with an acid before the reaction occurs. The researcher hypothesizes that the after treating
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Hoang‚ Sophia Candidate # 001430096 Artist Statement I create art because this passion and curiosity has been with me ever since I was a toddler‚ running around and doodling on any surface possible. In this course I wanted to learn techniques that would help me improve my style. I wanted to broaden my creativity by creating abstract works and designing dresses that mimic Alexander McQueen’s. And also to learn new mediums to create mixed media art because I find those artworks to be unusual
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Exploration of Lacsap’s Fractions The following will be an investigation of Lacsap’s Fractions‚ that is‚ a set of numbers that are presented in a symmetrical pattern. It is an interesting point that ‘Lacsap’ is ‘Pascal’ backwards‚ which hints that the triangle below will be similar to “Pascal’s Triangle”. 1 1 1 1 1 1 1 1 1 1 There are many patterns evident in this triangle‚ for instance I can see
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IB 20 History of the Americas Final Exam Study Guide This study guide covers material that will appear on the IB 20 History of the Americas Final Exam. Please review the following key concepts from Units 1-8. It is recommended that you look over the following list of key terms‚ events‚ concepts and people from the IB 20 History of the Americas course‚ and put a question mark (?) beside terms that you have forgotten‚ or are not sure what they mean‚ and check marks () next to concepts that you are
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