Leontief Matrix

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Definition

Leontief Matrix. The Leontief “A” matrix is a direct requirements table calculated from an industry-by-industry transactions table. The “I - A” matrix (where I is an identity matrix with ones in the diagonal cells and zeroes in other cells) can be inverted to calculate the inverse ((I - A)-1 ) or total requirements table. The elements of the inverse enable one to estimate both the direct and indirect impacts of a change in final uses.[1]

References

  1. Concepts and Methods of the US Input-Output Accounts. K.J.Horowitz, M.A.Planting, 2009