I am professor Inder Kumar Rana. I am from the departments of mathematics. I will be taking you through a brief introduction

to the course Linear Algebra which is going to be offered on this NPTEL MOOCs. Basically, Linear Algebra has 2 aspects, one

is static and other is dynamic. In the static aspect one studies the notion

of vector spaces, the notion of a base is and so on. In the dynamic aspect of the subject one studies

the concept of linear transformations. The notion of matrix is an important tool

in analyzing the system of linear equations and many other concepts in Linear Algebra. In fact, matrices help to do Linear Algebra

on computers. So, let me give you a brief applications of

the topic Linear Algebra. For example, partial fractions which you might

have done in school, like take an example of such a fraction 2x plus 1 divided by X

square into X plus 1 and you want to write it into partial fraction, and you get this

answer. There is a definite algorithm which works

for such kind of things. Have you wondered why this algorithm works? It is because of Linear Algebra. More applications of Linear Algebra are the

study of differential equations in fourier series and fourier analysis and functional

analysis and so on. In Linear Algebra also finds applications

in almost all branches of sciences and engineering. For example, there is a topic called computer

graphics which is very widely used topic in computer science which involves the notion

of visualization, the notion of animation and so on. All these are possible using Linear Algebra,

so in this course we will study not only the theoretical aspects of Linear Algebra, but

also we will study the applications of this topic. Basically, this topic is taught at B.Tech

level at Indian Institute of Technology, Bombay and it is a half a semester course and introducing

basic Linear Algebra concepts to the B.Tech students, so they go their respective branches,

they are able to use the concepts effectively. So, I hope you all will enjoy this course

and benefit from me. Thank you very much!

Thanks sir

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Im waiting for this course on Nptel.

Sir plz explain the static and dynamic by example