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 v=73266p=2714b=21123 Vigoro Parker's Bleyer's Determine the linear transformation T:R3R3 that takes a vector of brand amounts (in hundreds of pounds) as input and gives the nutrient vector as output. T(x)=[]x Then find a formula for T1, 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. T1(y)=yT144200412=[]