The bigger the value, the more of something is required to produce one unit of something else. But does it speak of a level of interconnectedness or dependence? In the above model, all five products are fully dependent on each other. For example, what if there would be no electricity? That would reduce the production of all five to zero, including that of electricity itself => the whole thing shuts down.
I wonder if looking at a simpler model would help.
Let's say that I produce a nifty new toy that consists of one piece of plank and three nails. My job is to buy planks for $3 each, nails for $2 apiece, assemble the whole thing, and sell it at profit. The material costs are 1 x $3 + 3 x $2 = $9. In addition I pay my cousin $2 to paint the whole thing with glossy colors, so the costs are $11, and I make a profit when I sell the whole thing for $12.
There are three kinds of resources here. Planks, nails, and cash.
One plank consumes zero planks, zero nails, and $3.
One nail consumes zero planks, zero nails, and $2.
One dollar costs 1/12 planks, 3/12 nails, and 2/12 dollars.
That gives the matrix
(0, 0, 3; 0, 0, 2; 1/12, 1/4, 1/6).
How can I say that one resource would be more dependent on the others than any other? If I have no nails, I can't make stuff, and thus can't sell it, and thus can't get planks, so aren't planks fully dependent on nails?
Looking at the numbers as such, getting dollars is dependent on on nails more than planks of dollars as three nails are needed per $12 dollars of income, while two dollars and one plank, that is, fewer, are needed. But I could replace the product "nail" by the product "sixpack of nails", half of which is consumed per toy, and suddenly it becomes least crucial..?
The matrix thing that wiki suggests looks at what is needed to keep the wheels turning. So if A = stock, x = the above consumption matrix, and d is profit, I get
xA = A + d
that is, to keep the business running, I need to have enough capital and stock to work, and the rest is for paying another monthly bill of the Lamborghini in my yard. Solving that gives
(x - I)A = d
from which I can solve the needed amount of goods for any level of profit I like, assuming that I can sell all that I produce and produce as much as I wish. All I need is the inverse matrix of (x - I), with which I would multiply the desired profit, and get the capital I require.
Puzzling, all in all. It feels like asking whether populating the world is more dependent on men, women, boys, or girls. Or whether making a Big Mac depends more on meat or buns.