Graphical operation of vectors and matrices

摘要

It is usually a big trouble and disadvantage for us to do the operation of vectors and matrices, for example, the inner or outer product of vectors and the multiplication of matrices or the transformation of vectors and matrices, especially the inverse transformation of matrices. In general, we could not use well recent computer software to finish our desired, such as numerical software, even the symbolic programs, e.g., Maple, Macsyma, and Mathematica, because of we cannot entirely simply our desired equation. It always needs some additional derive by ourselves. This paper presents some graphical operation rules to overcome this imperfection. By means of graphical operation, we could exactly simply any desired operation of vectors and matrices to get the simplified equation.