B geometric view of centering

The average of the first and second variable is three and two respectively and the centered data, Z, are therefore given as 

Multi-way Analysis With Applications in the Chemical Sciences 

Variable-space representation Object-space representation 

Appendix 9.C Fitting Bilinear Model Plus Offsets Across One Mode Equals Fitting a Bilinear Model to Centered Data 

Given X of size I x J and the column-dimension R of a sought bilinear model. Then 

---