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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


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Bibliography (further reading)

[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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