Difference between revisions of "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.

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. Conclusively the approaches for addition and multiplication of matrices to each other are presented.

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.