Question: Consider the matrix (I - A)-1 from Example 1. Show that if the consumer demand for coal is increased by $1 billion, then the additional

Consider the matrix (I - A)-1 from Example 1. Show that if the consumer demand for coal is increased by $1 billion, then the additional amounts (in billions of dollars) that must be produced by each of the three industries is given by the first column of (I - A)-1.

3. (1 - A) 1= (1 A)-! 3 3

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