Calculate the Leontief L from A

L = inverse matrix of (I - A)

Where I is an identity matrix of same shape as A

Comes from:
x = Ax + y => (I-A)x = y
A: coefficient input () - output () table x: output vector y: final demand vector

Hence, L allows to derive a required output vector x for a given demand y

Parameters:A (pandas.DataFrame or numpy.array) – Symmetric input output table (coefficients)
Returns:Leontief input output table L The type is determined by the type of A. If DataFrame index/columns as A
Return type:pandas.DataFrame or numpy.array