Template:Important topics

Vector algebra This article gives a brief explanation of vectors and vector algebra. After a short introduction to vector algebra unit vectors and simple arithmetic operations are presented. Afterwards the dot product and the cross product are briefly explained.

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Matrices This article gives a brief explanation of matrices and basic arithmetic algebra. After a brief introduction multiplication with a scalar and computing the transpose is described. Then the approaches for addition and multiplication of matrices to each other are presented. Conclusively the minors and cofactors and the determinant of a matrix are described.

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Matrix inversion After describing the preconditions for the existence of an inverse and its definition, two procedures to determine the inverse of a matrix, the Gauß-Jordan-Algorithm and the Adjugate Formula, are introduced and clarified by examples.