Assume that an economy is based on three industrial sectors, agriculture (A), building (B), and energy (E). The technology matrix M, and demand matrix D (in billions of dollars), are shown below. Also shown below is the inverse of I - M, where I is the identity matrix. A B E A 0.4 0.1 0.1 M = D= B 0.1 0.5 0.2 E 0.1 0.1 0.5 Find the output for each of the three sectors, X. X = (Simplify your answer.) 223 10 1.84 0.48 0.56 22 (I-M)- 1 = 0.56 2.32 1.04 33 0.48 0.56 2.32

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