# Matrix Multiplication - 2023.2 English

## AI Engine Kernel and Graph Programming Guide (UG1079)

Document ID
UG1079
Release Date
2023-12-04
Version
2023.2 English

The following matrix multiplication example implements the equation:

C (64 x 2) = A (64 x 8) * B(8 x 2)

The example assumes that the data for the matrices is stored in column major form and the data type for the matrices A and B is int16.

The first output column is computed as follows.

``````c0 = a0*b0 + a64*b1 + a128*b2 + a192*b3 + a256*b4 + a320*b5 + a384*b6 + a448*b7
c1 = a1*b0 + a65*b1 + a129*b2 + a193*b3 + a257*b4 + a321*b5 + a385*b6 + a449*b7
c2 = a2*b0 + a66*b1 + a130*b2 + a194*b3 + a258*b4 + a322*b5 + a386*b6 + a450*b7
c3 = a3*b0 + a67*b1 + a131*b2 + a195*b3 + a259*b4 + a323*b5 + a387*b6 + a451*b7
…
c60 = a60*b0 + a124*b1 + a188*b2 + a252*b3 + a316*b4 + a380*b5 + a444*b6 + a508*b7
c61 = a61*b0 + a125*b1 + a189*b2 + a253*b3 + a317*b4 + a381*b5 + a445*b6 + a509*b7
c62 = a62*b0 + a126*b1 + a190*b2 + a254*b3 + a318*b4 + a382*b5 + a446*b6 + a510*b7
c63 = a63*b0 + a127*b1 + a191*b2 + a255*b3 + a319*b4 + a383*b5 + a447*b6 + a5111*b7
``````

The second output column is computed as follows.

``````c64 = a0*b8 + a64*b9 + a128*b10 + a192*b11 + a256*b12 + a320*b13 + a384*b14 + a448*b15
c65 = a1*b8 + a65*b9 + a129*b10 + a193*b11 + a257*b12 + a321*b13 + a385*b14 + a449*b15
c66 = a2*b8 + a66*b9 + a130*b10 + a194*b11 + a258*b12 + a322*b13 + a386*b14 + a450*b15
c67 = a3*b8 + a67*b9 + a131*b10 + a195*b11 + a259*b12 + a323*b13 + a387*b14 + a451*b15
…
c124 = a60*b8 + a124*b9 + a188*b10 + a252*b11 + a316*b12 + a380*b13 + a444*b14 + a508*b15
c125 = a61*b8 + a125*b9 + a189*b10 + a253*b11 + a317*b12 + a381*b13 + a445*b14 + a509*b15
c126 = a62*b8 + a126*b9 + a190*b10 + a254*b11 + a318*b12 + a382*b13 + a446*b14 + a510*b15
c127 = a63*b8 + a127*b9 + a191*b10 + a255*b11 + a319*b12 + a383*b13 + a447*b14 + a5111*b15
``````