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.
Matrix inversion After describing the preconditions for the existence of an inverse and its definition, the minors and cofactors of a matrix are explained. Based on these an example formula to compute the determinant of a 4-by-4 matrix is presented. Conclusively two procedures to determine the inverse of a matrix, the Gauß-Jordan-Algorithm and the Adjugate Formula, are introduced and clarified by examples.