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 1-M, where I is the identity matrix. Ma A B 0.6 0.1 0.0 0.2 0.4 0.2 0.1 0.1 0.5 Find the output for each of the three sectors, X. x=(Simplify your answer.) 35 D= 22 6 (1-M)¹. 2.8 0.5 0.2 1.2 2 0.8 0.8 0.5 22
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 1-M, where I is the identity matrix. Ma A B 0.6 0.1 0.0 0.2 0.4 0.2 0.1 0.1 0.5 Find the output for each of the three sectors, X. x=(Simplify your answer.) 35 D= 22 6 (1-M)¹. 2.8 0.5 0.2 1.2 2 0.8 0.8 0.5 22
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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Transcribed Image Text: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 1-M, where I is the identity matrix.
M=
A
B
0.6 0.1 0.0
0.2 0.4 0.2
0.1 0.1 0.5
Find the output for each of the three sectors, X.
x=(Simplify your answer.)
35
D= 22
6
(-Ma
2.8 0.5 0.2
1.2 2 0.8
0.8 0.5 2.2
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