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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An industrial system has two industries with the input requirements below.
(a) To produce $1.00 worth of output, Industry A requires $0.30 of its own product and $0.40 of Industry B’s product.
(b) To produce $1.00 worth of output, Industry B requires $0.20 of its own product and $0.40 of Industry A’s product.
Find D, the input-output matrix for this system. Then solve for the output matrix X in the equation X = DX + E, where E is the external demand matrix

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