Mathematics · Matrix Applications
In the Leontief Input-Output model, the technology matrix A = [ 0.2 0.3 ][ 0.4 0.1 ] and final demand d = [100, 80]T. To find gross output X, we solve:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1X = A-1d
- 2X = (I + A)d
- 3X = Ad, directly
- 4X = (I - A)-1d, where (I - A) = [ 0.8 -0.3 ][ -0.4 0.9 ]✓
Correct answer
X = (I - A)-1d, where (I - A) = [ 0.8 -0.3 ][ -0.4 0.9 ]
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