This paper provides a complementary perspective to the evaluation of economic structure represented in either input-output or social accounting matrix terms that has been adopted by Pyatt and Round (1979) (multiplicative decomposition) and Defourny and Thorbecke (1984) (structural path analysis). The proposed new approach analyzes the matrix derived from the product of row and column multipliers extracted from the Leontief inverse matrix. Within this framework, attention is focused on the following issues: (1) the hierarchy of backward and forward linkages and their associated economic landscapes reflecting the cross-structure of the multiplier product matrix ; (2) the maximum entropy properties of the multiplier product matrix; (3) the consideration of the multiplier product matrix as the matrix of first order intensities of the fields of influence of change and the hierarchy of inverse important inputs; and (4) second order intensities of the field of influence. The meaning and importance of the multiplier product matrix is demonstrated through applications to the Japanese interregional tables for 1985.