Mathematical Review on Matrix and Linear Algebra
Keywords:
Linear Algebra, Matrix, Linear Spaces, Vectors.Abstract
In present paper we are going to review on the matrix and linear algebra in mathematics. In mathematics, a matrix is a rectangular array or table of numbers, symbols or expressions arranged in rows and columns. The application of matrices is to solve the systems of linear equations. Linear algebra is central to almost all area of mathematics. For instance, linear algebra is fundamental in modern presentation of geometry including for defining basic objects such as lines, planes and rotations. Also functional analysis, a branch of mathematical analysis, may be viewed as basically the applications of linear algebra to spaces of functions. Linear algebra is also used in most sciences and fields of engineering because it allows modelling many natural phenomenon and computing.
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.
- Bretscher, Otto, “Linear Algebra with Applications (3rd ed.), “Prentice Hall , 1973.
- Bronson, Richard ,” Matrix Methods: An Introduction,” New York: Academic Press, LCCN 70097490 . 1970.
- Brown, William C.,” Matrices and vector spaces” New York, NY: Marcel Dekker, ISBN , 1991.
- math.upatras.gr/~vpiperig/Mul/Algebra.pdf.
- https://en.wikibooks.org/wiki/Linear_Algebra/Matrices.
- math.tamu.edu/~dallen/m640_03c/lectures/chapter2.pdf.
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