This website uses cookies to ensure you have the best experience. Learn more

The Application Of Linear Algebra In Our Daily Life

1829 words - 7 pages

Eigenvalues and eigenvectors is one of the important topics in linear algebra. The purpose of this assignment is to study the application of eigenvalues and eigenvectors in our daily life. They are widely applicable in physical sciences and hence play a prominent role in the study of ordinary differential equations. Therefore, this assignment will provide explanations on how eigenvalues and eigenvectors will be functional in a prey-predator system. This will include background, history of the concept and explanation on what is meant by eigenvalues, eigenvectors and prey-predator system. Other than that, models and application of the eigenvalues and eigenvectors in prey-predator system will also be included in this assignment. Necessary appendix such as graphs will be attached with the assignment.

BACKGROUND AND CONCEPT

Linear algebra is the study of linear transformations of linear equations which are represented in a matrix form by matrices acting on vectors. Eigenvalues, eigenvectors and Eigen space are properties of a matrix (Sharma, n.d.). The prefix “Eigen” which means “proper” or “characteristics” was originally developed in German and invented by a German mathematician. Latent roots, characteristic roots, proper values or characteristics value are few common terms of eigenvalues. They are a special set of scalars allied with a linear system of equations for instance a matrix equation. In engineering and physics field, knowledge about eigenvalues and eigenvectors are very crucial where it is corresponding to diagonalization of matrix. They are practice in vibrating system with small oscillations, concepts of rotating bodies, as well as stability analysis. Corresponding eigenvectors will be paired with their eigenvalues. (Weisstein, n.d.).

Eigenvalue is a number that is derived from a square matrix where a square matrix is an assembly of n rows and n numbers. A Greek letter lambda (λ) is used to symbolize eigenvalue. When there exist an n ×n matrix P, then a non-zero vector x in R^n is known as eigenvector of P. Ax is a scalar multiple of x that is Ax=λx, for some scalar of λ. P represents the square matrix, while x is the non-zero vector and λ is a non-zero value. In other words, eigenvector is a vector that will sustain its course after going through linear transformation whereas the scalar value that was multiplied with the eigenvector during linear conversion is known as eigenvalue (Sharma, n.d.).
Predation is a positive or negative interaction which includes pre-predator, plants and herbivores and interactions in between parasite host. They are very vital in the ecosystem as they are the primary motivators of energy throughout the food chain (“Trophic links”, 2005). A creature that feeds on another creature is known as predator whereas prey is the organism which are consume by the predator. As an illustration, the pair of prey and predator are deer and lion, rabbit and fox, flies and frogs, fish and bears and etc. Prey...

Find Another Essay On The Application of Linear Algebra in Our Daily Life

English is important in our daily life

639 words - 3 pages . The second reason is that learning English is very important and necessary for the business world, researchers’ show that cross-border business communication is in English and learning it changes our lives. Moving to the third point English is mostly used in publishing books, making films, music and a lot of entertaining things. The last reason is that 50% of the information on the internet is available in English by knowing it can be easy to

Evaporationin Our Daily Life Essay

2078 words - 8 pages evident of Mother Nature's creations, there may be more to it. Life is only possible in a suitable environment. On earth, that environment is created by our weather dynamics. Weather dynamics is the study of how the motion of water and air cause weather patterns. Our Global weather systems are reflections of our atmosphere and its make up. Weather systems react to the temperature, humidity, and atmospheric pressure. These three control

Alterative Fuels are useful in our Daily LifE

1215 words - 5 pages lacking oxygen. If the oxygen is not enough, the carbons turn to carbon monoxide. Carbon monoxide is very harmful to living organisms. The increasing of global emission of CO2, a heat trapping gas is pushing the world into a crisis. CO2 or carbon dioxide traps heat in the atmosphere, which causes our world to have higher temperature. Seeing that the amount of burning fossil fuels gets bigger year by year, the global average temperature has

The Misunderstandings of Algebra

2408 words - 10 pages astronauts to the moon in 1969. Our advancement in technology and society will depend on people with exceptional math skills to build the bridge to the future. As of now, we need to make people realize how useful algebra is in everyday life before we can go the next step. A question that sometimes is mentioned is how can algebra make our lives easier? Some people assume that our need for math is basic. This is saying that we should be fine as long

The Daily Life of the Ancient Greeks

1297 words - 6 pages directly translates to the statement “drinking together. Something enjoyed by the not so wealthy, was a game similar to our game of darts. This game was called “kottabos.” In conclusion, I believe that Garland achieves what he set out to do which was to inform the readers about different aspects of the daily life of a Greek. He helps the reader obtain this information as he provides pictures as visual aids and breaks down chapters into different

The Nomadic Daily Life of the Cheyenne

1128 words - 5 pages The daily life of the Cheyenne was vigorous and intense, but they seemed to pull through and live their lives in happiness. They were nomadic, and they had structure in their social life, and had a major conflict with the United States. The Cheyenne, like other nomadic natives, came from Siberia, then traveled across the narrow Bering Strait that originally joined Asia and Alaska. Shai-ela is the Sioux word for Cheyenne, meaning “people who

The Development of Inca Daily Life

1427 words - 6 pages The Incas were one of the biggest grown civilizations in America. Within 100 years they had built a dominant empire, which stretched the entire length of the Andes Mountains.The Incas were a group who settled in the Cuzco Valley between 1000 and 1400 C.E. Being a peasant in this group came with many jobs, tasks, and hard work. The development of Inca daily life functioned well because of the peasants hard work, the class system, and family life

The Daily Life of an Elizabethan Woman

1732 words - 7 pages The Daily Life of an Elizabethan Woman Every decade brings new rights and opportunities for women. Specifically, in the Elizabethan era between 1558 and 1603, women were given little freedom due to the common idea that they were weak and needed a man to care for them (Thomas). Imagine you are an Elizabethan woman in 1560; you are in an arranged marriage with two children, a boy and a girl. Your daughter is growing up to become a mother and

Heroes in Our daily Lives

659 words - 3 pages Barkley, a legendary basketball player. He would follow his every move on and off the court. All you had to do was walk into his room to and you would be able to tell the deep love he had for his hero. His wall was plastered with posters of Barkley and his desk was full of Barkley action figures. He even collected the ticket stubs of all the games that he went to in which Barkley played. This deep love and admiration for a human being was

Misundertanding of Algebra: Why We Should Continue to Have It in Our Math Programs

2745 words - 11 pages astronauts to the moon in 1969. Our advancement in technology and society will depend on people with exceptional math skills to build the bridge to the future. As of now, we need to make people realize how useful algebra is in everyday life before we can go the next step. A question that sometimes is mentioned is how can algebra make our lives easier? Some people assume that our need for math is basic. This is saying that we should be fine as long as we

Daily Life of the 16th Century VS. Daily Life of Today

1046 words - 4 pages The Daily life of the French in the 16th Century differs greatly from the daily life of the 21st Century. Back then, society was led more by the group rather than the individual; now, society is led by individuals rather than the group. The people were more influenced by church as a whole than we are now. The village priest was a part of everybody's life, from birth to death. Weddings were a big deal, to not only the people getting married, but

Similar Essays

Linear Algebra In Computer Science Essay

835 words - 4 pages Linear algebra is a useful tool with many applications within the computer science field. This paper will cover the various applications of linear algebra in computer science including: internet search, graphics, speech recognition,and artificial intelligence. A major focus of linear algebra in computer science is internet searches, which involves finding techniques for effectively storing and searching through information. In the year 2000

Application Log: Semiotics In Daily Life (Journal Of Application Of Communication Theories)

4692 words - 19 pages is based on the market. I reassured Shawn that he could go to school and do well and that failure, if it occurred, was only a sign of effort and challenge. I discovered that through our communication that a change in his behavior was the desired end result and that because the action of enrolling in school was something that did not fit with what he knew and was out of his personal comfort zone, I had to present information to him in a manner

The Role Of Technology In Daily Life

787 words - 3 pages The Role of Technology in Daily Life The computer is no longer something new and special to many people nowadays, because many families now have at least one computer in their homes. When most people think of a computer they think of the monitor, the tower, and the small pieces that come with it, like the keyboard and mouse. In fact, a computer can be broken down into four distinct categories, which include the output

Perception And Stereotypes In Our Daily Life

1473 words - 6 pages Life is based on a series of different perceptions. Human beings often attach opinions, sentiments and value judgments to every moment or incident in their life and this is mostly done unintentionally. Most of the times, these opinions are fixed and are stored in their minds for a long period of time. They then stay there, unbending and inflexible. Although a common perception is that because a phenomenon exists, it must be grounded in truth and