## Linear Algebra

**Linear algebra** is the study of vector spaces, which are its basic objects, and of linear maps between those vector spaces.

| | | | Contributors: *bookofproofs* | References: [561], [979], [1038]

## 1.Linear Equations and Systems of Linear Equations (SLEs)

## 2.Vectors Revised - Vector Spaces

## 3.Vectors

## 4.Matrices

## 5.**Proposition**: Quotient Space

## 6.Eigenvalues and Eigenvectors

## 7.Principal Axis Transformation

## 8.Jordan Normal Form

## 9.Rotations and Basic Transformations

## 10.Determinants

## 11.Affine Spaces

(none)

[561] **Koecher Max**: “Lineare Algebra und analytische Geometrie”, Springer-Verlag Berlin Heidelberg New York, 1992, 3 Volume

[979] **Reinhardt F., Soeder H.**: “dtv-Atlas zur Mathematik”, Deutsche Taschenbuch Verlag, 1994, 10

[1038] **Wille, Dr. Detlef**: “Repetitorium der Linearen Algebra”, Binomi Verlag, 1994

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