Linear algebra is an initial part of mathematics. It is a major branch of arithmetic related to the mathematical systems underlying the operations of addition and scalar multiplication, consisting of the principles of construction of linear equations, matrices, determinants, vector surfaces, and linear transformations. Linear algebra is a mathematical subject that deals with vectors and matrices, and more generally with vector surfaces and linear transformations. Unlike the other components of arithmetic, which are often fueled by new ideas and unsolved problems, linear algebra is very easy to understand. Its value lies in its many applications from mathematical physics to modern algebra and its use in engineering and science along with ima...