Problem pertain to the following inputoutput model: Assume that an economy is based on three industrial sectors:

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Problem pertain to the following input–output model: Assume that an economy is based on three industrial sectors: agriculture (A), building (B), and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are

A BE A [0.3 0.2 0.2 B E 0.1 0.1 0.1 = M 0.2 0.2 0.1 0.1 0.1 5 -[3] 15 D = 10 D 20 -[] = 15 10

Find (I – M)^–1.
Show that (I – M)^–1(I – M) = I.

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Finite Mathematics For Business Economics Life Sciences And Social Sciences

ISBN: 9780134862620

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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Question Posted: Dec 20, 2023 08:24 AM

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Problem pertain to the following inputoutput model: Assume that an economy is based on three industrial sectors:

Question:

A BE A [0.3 0.2 0.2 B E 0.1 0.1 0.1 = M 0.2 0.2 0.1 0.1 0.1 5 -[3] 15 D₁ = 10 D₂ 20 -[] = 15 10

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Finite Mathematics For Business Economics Life Sciences And Social Sciences

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