The following table presents the exports and imports of a country in three categories for the years 2005 and 2010. Categorie Exports (millions $) Imports (millions in $) 2000 2010 2000 2010 Agriculture 51,296 70,912 39,186 65,459 Manufacture 625,894 785,599 1,012,855 1,416,302 Minery 13,479 34,711 135,367 332,500 Construct four matrices, one for each column of the table, whose dimension is 3 x 1. Use two of these matrices to determine matrix E, which will represent the trade balance for the year 2000 and matrix B, which will represent the trade balance for the year 2010. Apply the concepts of matrix algebra to determine the matrix E - F, which will compare both years. Apply the properties of the matrices to determine if the trade balance from 2000 to 2010 improved in some of the categories.
The following table presents the exports and imports of a country in three categories for the years 2005 and 2010.
Categorie Exports (millions $) Imports (millions in $)
2000 2010 2000 2010
Agriculture 51,296 70,912 39,186 65,459
Manufacture 625,894 785,599 1,012,855 1,416,302
Minery 13,479 34,711 135,367 332,500
Construct four matrices, one for each column of the table, whose dimension is 3 x 1. Use two of these matrices to determine matrix E, which will represent the trade balance for the year 2000 and matrix B, which will represent the trade balance for the year 2010. Apply the concepts of matrix algebra to determine the matrix E - F, which will compare both years. Apply the properties of the matrices to determine if the trade balance from 2000 to 2010 improved in some of the categories.
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