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 A 0.5 0.2 5 M = D= E 0.5 0.3 2 and the output for each sector, X, that is needed to satisfy the Find (IM) final demand, D. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (I-M)-1 = (Simplify your answer.) B. The matrix (I - M) is singular.
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 A 0.5 0.2 5 M = D= E 0.5 0.3 2 and the output for each sector, X, that is needed to satisfy the Find (IM) final demand, D. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (I-M)-1 = (Simplify your answer.) B. The matrix (I - M) is singular.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ:
23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
Question
![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
A
0.5 0.2
5
M =
D=
E
0.5 0.3
2
and the output for each sector, X, that is needed to satisfy the
Find (IM)
final demand, D.
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
A. (I-M)-1
=
(Simplify your answer.)
B. The matrix (I - M) is singular.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51c36d9f-5813-4beb-b847-6812aae488f6%2Fe801d5bd-4bf6-4d55-bebd-c7899e645f00%2Fqvm2pbn_processed.jpeg&w=3840&q=75)
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
A
0.5 0.2
5
M =
D=
E
0.5 0.3
2
and the output for each sector, X, that is needed to satisfy the
Find (IM)
final demand, D.
Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
A. (I-M)-1
=
(Simplify your answer.)
B. The matrix (I - M) is singular.
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