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MATH 1071 MatrixApplications2_10:31

# MATH 1071 MatrixApplications2_10:31 - Notes MATH 1071...

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MATH 1071 Applications of Matrices (Section 6.6) October 31, 2012 Homework #9 (Due 11/5): Section 6.6 : # 16, 28, 38, 44 Clicker Check-in: Choose any letter to check in now. Patrick Newberry Applications of Matrices October 31, 2012 1 / 10 Input-Output Analysis Input-Output Analysis Definition Input-output matrix, A - A square matrix describing the input required by each sector from the other sectors. Production matrix, X - A column matrix indicating how much each sector of the economy produces. Demand matrix, D - A column matrix that indicates the amount of each sector that is NOT used up in production process. X - AX = D ( I - A ) X = D Patrick Newberry Applications of Matrices October 31, 2012 2 / 10 Input-Output Analysis A simplified economy is based on agriculture, manufacturing, and transportation. Each unit of agricultural output requires 0.4 unit of agriculture, 0.2 unit of manufacturing, and 0.1 unit of transportation. One unit of manufacturing requires 0.4 unit of manufacturing, 0.3 unit of agriculture, and 0.2 unit of transportation. One unit of transportation requires 0.4 unit of transportation, 0.2 unit of agriculture, and 0.3 unit

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