Best Matrices and linear algebra

Linear algebra, which can be viewed as a generalization of the ideas found in elementary algebra. In linear algebra, the scalars are no longer numbers, but instead are vectors, matrices and more generalized objects. Just as there are many systems of arithmetic that do not include numbers, there are many systems of “contemporary” algebra that do not include linear algebra.

Linear Algebra is the branch of math that deals with things like lines and planes, which are necessary to describe many situations in the real world; including computer graphics, engineering, and physics. Linear algebra can be thought of as a subject that describes shapes. All the formulas associated with linear algebra come from two basic axioms:

The purpose of this book is to make your study of mathematics for applications in science and engineering easier. This book does not aim to cover all the topics or provide such a complete treatment that students who have no prior experience with linear algebra will be prepared to take introductory courses. Instead, it is intended to give a very brief introduction to some of the most useful techniques, concepts and formulas that are used in more advanced courses in physics, applied mathematics and engineering. A major emphasis has been placed on solving real-world problems, including everything from quick back-of-the-envelope calculations to computer simulations.