The Study of Properties of Linear Algebra and Matrices
Keywords:
Linear algebra,, Linear spaces,, Matrix,, Matrix multiplication.Abstract
Linear algebra is the branch of mathematics having a lot of application in various areas. Though a lot of advancement is done in mathematics still linear algebra is basic and important part of mathematics. In this paper, we will discuss about finding the vector, vector space and subspace of a vector, linear transformations and linear equations. Matrices also have vital role in solving linear equations. In this paper, we discussed about matrix, matrix multiplication and some important properties of matrices. Linear algebra and matrix have concrete application in quantum mechanics, control theory, analytic geometry and operator theory. It has extensive application in dimensionality reduction, changing 2-D vector spaces to 3-D vector spaces and much more.
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
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.
