1. A matrix multiplier comprising: (a) electrical input terminal means for simultaneous application of a plurality (X) of ordered analog input voltage quantities, where ##EQU10## (b) a plurality of electrical circuit elements arranged in a two dimensional array having rows and columns, each circuit element having: (1) capacitive storage means whose capacity establishes a weight corresponding to a respective fixed coefficient of a two dimensional matrix (A) of fixed coefficients where ##EQU11## (2) terminal means for applying an input and for deriving an output, (c) means for interconnecting the terminal means of the circuit elements in each row to said electrical input terminal means for applying a common input quantity (x.sub.j) to each element in said row, each circuit element producing a product (a.sub.ij x.sub.j) proportional to the weight of the fixed coefficient (a.sub.ij) of said electrical circuit element and to the applied analog input quantity (x.sub.j), said products representing analog quantities of electrical charge, (d) means for interconnecting the terminal means of said circuit elements in each column for deriving an output (y.sub.i) equal to the sum of products in each column of circuit elements, where ##EQU12## (e) a plurality of output circuit means, each coupled to a respective column interconnecting means for deriving an ordered analog output voltage quantity (Y), where ##EQU13## corresponding to the multiplication of said two dimensional matrix (A) of fixed coefficients by said plurality (X) of ordered analog input quantities.