This study made an effort to build the Social Accounting Matrix for the Nigerian economy, which describes the income circular flow through the integration of the production with the income flows, including both the generation and the distribution of value added and the creation of final demand. Such database allows developing an extended input–output model and a Macro Multipliers analysis based on the technique of singular value decomposition. First, the analysis identifies the key sectors amongst the agricultural sectors that have significant interactions with the other commodities of the economy. Furthermore, the Macro Multipliers analysis is conducted in order to identify the interactions between policy objective (total output) and policy control (final demand) at a multi-sectoral level.