The Study of Properties of Linear Algebra and Matrices
Keywords:
Linear algebra, Linear spacesAbstract
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.
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Manoj Kumar, Arjit Tomar, and Gyan Shekhar, “A study on the Linear and Matrix in Mathematics,” IJMECE, volume no. 4, Issue No. 3, May 2016, ISSN: 2321-2152.