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 20 1.84 0.48 0.08 A 0.4 0.1 0.0 M = D = (IM) 1 = 1.04 2.88 0.48 B 0.2 0.6 0.1 10 0.48 0.56 1.76 E 0.1 0.1 0.4 Find the output for each of the three sectors, X. X= (Simplify your answer.)

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A: We know A-λI = 0 A-λI =    1-1   0   0-1   2-1   0  0-1   2-1  0  0-1   2-λ1000010000100001 = 0

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A: We will solve this question using gauss Jordan method.

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A: See this solution in below.

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