Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below. A 0.4 0.4 M = D= E 0.4 0.4 Find (I – M)-1 and the output for each sector, X, that is needed to satisfy the final demand, D. ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3 2 VA. (I-M)-1 = |(Simplify your answer.) 2 3 O B. The matrix (I – M) is singular.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.6: More Applications Of Matrix Operations
Problem 12E
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Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below.
A
E
0.4 0.4
4
D =
3
A
M =
E
0.4 0.4
- 1
Find (I – M)¯ and the output for each sector, X, that is needed to satisfy the final demand, D.
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
3 2
A. (I-M)-1=
(Simplify your answer.)
2 3
B. The matrix (I – M) is singular.
Transcribed Image Text:Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below. A E 0.4 0.4 4 D = 3 A M = E 0.4 0.4 - 1 Find (I – M)¯ and the output for each sector, X, that is needed to satisfy the final demand, D. ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3 2 A. (I-M)-1= (Simplify your answer.) 2 3 B. The matrix (I – M) is singular.
Select the correct choice below and fill in the answer box within your choice.
A. X= (Simplify your answer.)
B. The matrix (I – M) is singular, so X cannot be calculated.
Transcribed Image Text:Select the correct choice below and fill in the answer box within your choice. A. X= (Simplify your answer.) B. The matrix (I – M) is singular, so X cannot be calculated.
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