Table 1. Ingredients and Nutritional Information Calories Sodium (mg) Carbs (g) Carbonated Water (1 fl oz) We can repres

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Table 1 Ingredients And Nutritional Information Calories Sodium Mg Carbs G Carbonated Water 1 Fl Oz We Can Repres 1 (105.85 KiB) Viewed 36 times

Table 1. Ingredients and Nutritional Information Calories Sodium (mg) Carbs (g) Carbonated Water (1 fl oz) We can represent this nutritional information by the matrix A: 7 *(+) A 10 2 • The ingredient vector for Pepsi is 0 5 0 0 25 25 A = 5 1 20 0 5 38 The matrix A defines a linear map from ingredient vectors to nutritional vectors. For example, we can compute the nutritional value of a mixture of 7 fl oz of Carbonated Water, 10 fl oz of HFCS and 2fl oz of Caramel Colour as: A-¹np = • The ingredient vector for Pepsi Next is A-¹nPN <300,85,126> HFCS (1 fl oz) But with the power of linear algebra, we can also go backwards and compute the following valuable trade secrets (see hints below, and give your answers to two significant figures): • The ingredient vector for Vanilla Coke is A-¹nvc= 25 1 5 7.8 9.9 .55 Caramel Colour (1 fl oz) 25 20 38 <27625/4125,38750/412! <227/33,310/33,20/33> ◎团 ◎ 团.