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
Premium Group Integer Abelian group
How does Steinbeck create sympathy for Candy and his position on the ranch? Of Mice and Men is a novel written by John Steinbeck‚ set in America in the Great Depression of the 1930s. The main characters in the book are the clever‚ quick George‚ and his slow‚ child-like companion Lennie. They are itinerant workers who find work on a ranch in California’s Salinas Valley. There are many characters on the ranch‚ including Curley‚ Slim‚ and Crooks. However‚ the first ranch worker George and Lennie
Premium Great Depression Of Mice and Men
are exhausts. How would invention and technological improvements modify your answer? On the basis of this example‚ explain why it is said “economic growth is a race between depletion and invention. AS Macroeconomics / International Economy Economic Growth Growing economies provide the means for people to enjoy better living standards and for more of us to find work. But what is economic growth and how best can a country achieve it? Defining economic growth Economic growth is best defined
Premium Economics Inflation Supply and demand
Cavaye Cavaye Community Development “The real voyage of discovery consists not of seeking new landscapes‚ but in having new eyes.” - Marcel Proust Rural community development is a process conducted by community members. It is a process where local people can not only create more jobs‚ income and infrastructure‚ but also help their community become fundamentally better able to manage change. The “concrete” benefits of community development‚ such as employment and infrastructure‚ come through local people
Premium Community building Community development Sociology
industries with several players entering the market. Shopping in India have witnessed a revolution with the change in the consumer buying behavior and the whole format of shopping also altering. Industry of retail in India which have become modern can be seen from the fact that there are multi- stored malls‚ huge shopping centers‚ and sprawling complexes which offer food‚ shopping‚ and entertainment all under the same roof. India retail industry is expanding itself most aggressively‚ as a result
Premium Retailing
Robust agricultural growth is key to India ’s economic growth prospects Ajay Modi Business Today‚ September 17‚ 2013 | UPDATED 08:55 IST A farmer works in a wheat field against the backdrop of residential apartments undergoing construction in Noida on the outskirts of New Delhi January 1‚ 2012. (Reuters Last week‚ the prime minister ’s Economic Advisory Council projected 4.8 per cent growth for agriculture in 2013/14. In comparison‚ agricultural growth last year was 1.9 per cent. If the projection
Free Agriculture
There are three different models that can interact to create or solve any problem in any organization ‚ the models are Perspectives ‚ Worldviews and Mental models . Perspectives are the point of views ‚ (Gray ‚1996) “means that they consider the inner form of all cosmic beings ‚ the gods‚ the dead‚ plants‚ meteorological phenomena and geographical accidents‚ among others” ‚ when adopting different perspectives people can apply systems thinking successfully to broaden their awareness ‚ Perspectives
Premium Scientific method Psychology Sociology
How can India achieve inclusive growth to prevent the gap between rich and poor from widening? Inclusive Growth: A Paradox In Interests An essay by Hamza Ali‚ The University of Hull‚ UK Indian self reliance is a pipe dream that has consumed many of its greatest minds in the past half century. Its proponents often cite the litany of problems facing a nation whose population stretches to 1.1 billion and has hundreds of millions of people living in abject poverty
Premium Electricity generation Wind power Electricity distribution
1. Advertising 2. Personal Selling 3. Sales Promotion‚ and 4. Publicity 1. Advertising is the dissemination of information by non-personal means through paid media where the source is the sponsoring organization. 2. Personal selling is the dissemination of information by non-personal methods‚ like face-to-face‚ contacts between audience and employees of the sponsoring organization. The source of information is the sponsoring organization. 3. Sales promotion is the dissemination of information
Premium Advertising
ADM 570- SERVICE MANAGEMENT DONA ROFITHOH BT DON RAMLI (2011296394) SHAZLYN ERMIEZA BT YAACOB (2011294904) NABILAH BT ABD KARIM (2011) 3. Highlight various factors responsible for the growth of organization. AIR ASIA Increase of products/ services Low cost operations Trends FACTORS Multi-skilled and welltrained staffs Using of one type of aircraft Strong brand recognition‚ marketing approach and awareness Trends - According to the World Bank‚ the demand for services is on the rise with
Premium Low-cost carrier Airline US Airways