30. An industrial system has three industries and the input-outp matrix D and external demand matrix E shown below. | 5000] [0.2 0.4 0.4] D = 0.4 0.2 0.2 and E = 2000 [0.0 0.2 0.2 8000 Solve for the output matrix X in the equation X = DX + E.

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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30. An industrial system has three industries and the input-output
matrix D and external demand matrix E shown below.
[ 5000]
[02 0.4 0.4]
D = 0.4
0.2 0.2 and E= 2000
L0.0 0.2 0.2]
8000
Solve for the output matrix X in the equation X = DX + E.
Transcribed Image Text:30. An industrial system has three industries and the input-output matrix D and external demand matrix E shown below. [ 5000] [02 0.4 0.4] D = 0.4 0.2 0.2 and E= 2000 L0.0 0.2 0.2] 8000 Solve for the output matrix X in the equation X = DX + E.
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