# Matrix Vector Multiplication - 2022.2 English

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

Document ID
UG1079
Release Date
2022-10-19
Version
2022.2 English

The following matrix vector multiplication example focuses on a single AI Engine kernel vectorization. It implements the following matrix vector multiplication equation.

C (64 x 1) = A (64 x 16) * B(16 x 1)

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

``````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 + …
``````