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**About this book :- **

**Introduction to Linear Algebra **.

Linear algebra is the branch of mathematics concerning with linear equations (linear equations mean, the equations that containing single powers of any variables) such as

**a** 1 x1 + a2 x2 + ...... + an xn = b

These equations are naturally represented using the formalism of matrices and vectors.

Linear algebra is central to almost all areas of both pure and applied mathematics. It dearls vector spaces, often finite or countable infinite dimensional, as well as linear mappings between such spaces. It is an area of mathematics that studies lines, planes, rotations and vectors and the areas and spaces they create. The matrix and determinant are extremely useful tools of linear algebra.

**Linear algebra and its applications **

Linear algebra and its applications can be found in analytic geometry, computer science, computer animation, engineering, physics, networking, economics, social sciences and many other disciplines. To determine an equation of body's motion we use Linear Algebra in Theoretical Mechanics. Linear Algebra also helps us to solve Differential Equations specially in Physics. Software developers also use Linear Algebra to make cool games specially to describe rotation of the body.

We use a lot of Linear Algebra in Theoretical Mechanics to determine an equation of body's motion. Linear Algebra helps us to solve Differential Equations that we in Physics can face with. Game developers also use Linear Algebra to make cool games. They use Quaternions to describe rotation of the body. It can be used not only in games but in Machine Learning and other adjacent fields.

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