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For problem 1-10, determine whether the given set of
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- Suppose that you are in the garden supply business. Naturally, one of the things that you sell is fertilizer. You have three brands available: Vigoro, Parker's, and Bleyer's. The amount of nitrogen, phosphoric acid, and potash per 100 pounds for each brand is given by the nutrient vectors T(x) = 2 ---A 32 p= b= = 11 Parker's Bleyer's T-¹(y) = V= T-1 7 66 Vigoro Determine the linear transformation T: R³ R³ that takes a vector of brand amounts (in hundreds of pounds) as input and gives the nutrient vector as output. Then find a formula for T-1, and use it to determine the amount of Vigoro, Parker's, and Bleyer's required to produce 44 pounds of nitrogen, 200 pounds of phosphoric acid and 412 pounds of potash. 44 (1)- 412 X 11 2 23 yarrow_forwardDetermine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).arrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) -5 А. -3 16 8. В. 4 7 5 -4 3. -7 4 D. -3 -9 E. -7 F. 4 3 -2arrow_forward
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