SEMAINE D'ÉTUDE SUR LE ROLE DE L'ANALYSE ECONOMETRIOUE ETC.

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where the superscript - 1 indicates the operation of matrix
inversion. Now each column of the inverted matrix represents
the amounts of all intermediate goods which have gone into
one unit of final commodity. This means that by multiplying
each column of the inverted matrix by the row of the inputoutput
 labour coefficients which has been excluded from (VI.1),
we arrive at the labour coefficients of the vertically integrated
system.
[n algebraic terms:

1

where the mark ’ denotes the operation of matrix transposition.
Equations (VI.3) now give the algebraic relation, existing in a
ziven period of time, between the labour coefficients of an
input-output model and the labour coefficients of the vertically
ntegrated sectors used in the present dynamic model. The
ones may be obtained from the others — as the (VI.3) now
directly show — by a straight-forward algebraical operation.

>. Fitting empirical data into the moael

The algebraic relation which has just been obtained and
which links the input-output technical coefficients with the techaical
 coefficients of our analysis finds an immediate applica:

ro] Pasinetti - pag. 99