The matrix multiplication function code multiplies a pair of threebythree matrices. The output is a threebythree matrix. Like matrix addition (function code 169), use matrix multiplication for system modeling and simulation. The outputs show the effects of various values of several different parameters.
Matrix multiplication can implement advanced control strategies that incorporate several independent variables.
Outputs:

Specifications:
Spec 
Tune 
Default 
Type 
Range 
Description 
S1 
N 
5 
I 
Note 1 
Block Address of A11 value 
S2 
N 
5 
I 
Note 1 
Block Address of A12 value 
S3 
N 
5 
I 
Note 1 
Block Address of A13 value 
S4 
N 
5 
I 
Note 1 
Block Address of A21 value 
S5 
N 
5 
I 
Note 1 
Block Address of A22 value 
S6 
N 
5 
I 
Note 1 
Block Address of A23 value 
S7 
N 
5 
I 
Note 1 
Block Address of A31 value 
S8 
N 
5 
I 
Note 1 
Block Address of A32 value 
S9 
N 
5 
I 
Note 1 
Block Address of A33 value 
S10 
N 
5 
I 
Note 1 
Block Address of B11 value 
S11 
N 
5 
I 
Note 1 
Block Address of B12 value 
S12 
N 
5 
I 
Note 1 
Block Address of B13 value 
S13 
N 
5 
I 
Note 1 
Block Address of B21 value 
S14 
N 
5 
I 
Note 1 
Block Address of B22 value 
S15 
N 
5 
I 
Note 1 
Block Address of B23 value 
S16 
N 
5 
I 
Note 1 
Block Address of B31 value 
S17 
N 
5 
I 
Note 1 
Block Address of B32 value 
S18 
N 
5 
I 
Note 1 
Block Address of B33 value 
NOTES:
1. Maximum values are:9,998 for the BRC100, IMMFP11/12 and 31,998 for the HAC
170.1 Explanation
The matrix multiplication function code multiplies two threebythree matrices to form a threebythree matrix of real values. Matrices multiply row by column. To form the first row of the product matrix, row one of matrix A multiplies by columns one, two and three of matrix B. The second and third rows of the product matrix form similarly. Row two of matrix A multiplies by columns one, two and three of matrix B to form the second row of the product matrix and row three of matrix A multiplies by columns one, two and three of matrix B to form the last row of the product matrix.
The row by column multiplication sums the products of the like elements to get one value. The first value in row one of matrix A multiplies by the first value in column one of matrix B. That product adds to the products of the second and third values to produce the value in the product matrix as Figure 1701 shows.