Various calculation of matrices and vectors has been used in many digital signal processing systems. Although the calculation simply repeats multiplication and addition, the reiteration processing are usually heavy. Therefore, in order to calculate them with high speed, it is necessary to apply parallel proceccing. Although there is another issue that a circuit area becomes large in the case of digital LSI, a proposal analog circuit can realize multiplication and addition simultaneously with the simple structure which arranges capacitors in a matrix form. Furthermore, the vowel speech recognition system is designed using this circuit.