Linear Algebra and Geometry

What is Linear Algebra and Geometry?

Linear algebra is a branch of mathematics that deals with linear equations and linear functions which are represented through matrices and vectors. In simpler words, linear algebra helps you understand geometric concepts such as planes, in higher dimensions, and perform mathematical operations on them. It can be thought of as an extension of algebra into an arbitrary number of dimensions. Rather than working with scalars, it works with matrices and vectors. 

What else can I do with Linear Algebra?

1. Computer graphics.

2. Cryptography.

3. Web page ranking.

4. Social network analysis.

5. Discrete time population models.

By way of comparison: roughly speaking, calculus created the industrial revolution. There's a small (but growing) group of mathematicians who believe that linear algebra is going to be at least as big as calculus, insofar as its impact on society.

Books Required

The main aim is to find complex topics with the easiest explanations and you probably won't be able to find that in one book only. Look for simple explanations in as many different books as possible. These are the books that I used to grasp the understanding of complicated topics covered throughout the syllabus. 

1. Elementary Linear Algebra 11th Edition by Howard Anton

PastPapers

Coming Soon.