Introduction to Linear Algebra and Complex Numbers

In the chapter Introduction to Linear Algebra and Complex Numbers you will find:

1. Geometry of Vectors in the Plane
   [Lay 1.3, 6.1], [Adams 10.1-10.2]
2. Distance of a Point from a Line and Projections
   [Lay 6.1-6.2, 6.7], [Adams 10.2]
3. Polar Coordinates and Complex Numbers
   [Lay App. B], [Adams AI-AII, 8.5]
4. Geometry of Vectors in the Space
   [Lay 1.3, 6.1-6.2, 6.7], [Adams 10.1-10.2, 10.4]
5. Linear Equations and Matrices
   [Lay 1.8-1.9]
6. Operations with Matrices
   [Lay 2.1]
7. The Inverse Matrix
   [Lay 2.2-2.3]
8. The Determinant of a Matrix
   [Lay 3.1-3.3]
9. Exercises

Contents of this chapter include basic notations concerning vectors, matrices and linear equations. These notations are widely used in mathematics, natural science and engineering. Definitions of a complex number, matrix and inverse matrix are given, along with some basic results in the field. Connections to the school geometry are discussed.

The information given in here is essential for further studies in mathematics and engineering.

References

1. David C. Lay: Linear Algebra and Its Applications, 3rd international edition, Addison-Wesley, 2003.
2. Robert A. Adams: Calculus: A Complete Course, 6th edition, Addison-Wesley, 2006.