# pymrio.calc_Z¶

pymrio.calc_Z(A, x)

calculate the Z matrix (flows) from A and x

A = Z / x[None, :] => Z = A * x[None, :]

By definition, the coefficient matrix A is basically the normalized flows So Z is just derived from A by un-normalizing using the industrial output x

Parameters: A (pandas.DataFrame or numpy.array) – Symmetric input output table (coefficients) x (pandas.DataFrame or numpy.array) – Industry output column vector Symmetric input output table (flows) Z The type is determined by the type of A. If DataFrame index/columns as A pandas.DataFrame or numpy.array