A review of Modelling using an Algebraic Expression
Keywords:
Linear Algebra, Matrix, Linear EquationAbstract
Linear algebra owes its origins to the use of vectors in Cartesian two- and three-dimensional space. Vectors are described as a kind of line segment that is governed by both magnitude and direction. The first real vector space is formed by using vectors to represent physical components such as forces and then adding and multiplying them with scalars. Nowadays, it is feasible to learn linear algebra in any number of dimensions. It is a vector space of size n. Most of the useful results from 2- and 3-space may be expanded in these higher-dimensional spaces. Because they are invisible to the human eye, the n-space vectors and n-tuples are useful for describing data. Using vectors as n-tuples (ordered lists of n components), it is possible to summarise and manage data efficiently. 8-dimensional vectors or 8-tuples may be used to represent the Gross National Product of eight countries in economics.
References
Anton, Howard, Elementary Linear Algebra, 5th ed., New York: Wiley, ISBN 0-471-84819-0, 1985.
Artin, Michael, Algebra, Prentice Hall, ISBN 978-0-89871- 510-1, 1991.
Baker, Andrew J., Matrix Groups: An Introduction to Lie Group Theory, Berlin, DE; New York, NY: Springer-Verlag, ISBN 978-1-85233-470-3, 2003.
Bau III, David, Trefethen, Lloyd N., Numerical linear algebra, Philadelphia, PA: Society for Industrial and Applied Mathematics, ISBN 978-0-89871-361-9 , 1995.
Beauregard, Raymond A., Fraleigh, John B., A First Course In Linear Algebra: with Optional Introduction to Groups, Rings, and Fields, Boston: Houghton Mifflin Co., ISBN 0-395-14017- X , 1973.
Bretscher, Otto, Linear Algebra with Applications (3rd ed.), Prentice Hall , 1973.
Bronson, Richard , Matrix Methods: An Introduction, New York: Academic Press, LCCN 70097490 . 1970.
Bronson, Richard, Schaum's outline of theory and problems of matrix operations, New York: McGraw–Hill, ISBN 978-0-07- 007978-6 , 1989.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 International Journal for Research Publication and Seminar
This work is licensed under a Creative Commons Attribution 4.0 International License.
Re-users must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. This license allows for redistribution, commercial and non-commercial, as long as the original work is properly credited.