This paper deals with inner and direct matrix-multiplication methods for the matrices of the following orders: 4 × 4 by 4 × 4 or 1 × 4 (vector) by 4 × 4. Those matrix-multiplication methods are used when modelling the scenes in computer graphics. The matrices are multiplied when the corresponding elements are multiplied simultaneously. In contrast to the standard matrix-multiplication method, some shifting methods are used in order to speed up the process of multiplication. Those mapping matrix-multiplication methods applied to an array of processors have some particular interconnection patterns which are only valid for the near-neighbour 2D and 3D connections. Hardware and software structures are presented in the paper.