Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.6 Exercises - Page 139: 10

Answer

See explanation

Work Step by Step

From Exercise $8,$ the $(\mathrm{i}, \mathrm{j})$ entry in $(I C)^{-1}$ corresponds to the effect on production of sector i when the final demand for the output of sector j increases by one unit. Because these entries are all positive, an increase in the final demand for any sector will cause the production of all sectors to increase. So an increase in the demand for any sector will lead to an increase in the demand for all sectors.
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