solve the application by writing a system of equations that models the conditions and then applying inverse matrix methods. the following table shows the carbohydrate, fat, and protein content of three food types. a nutritionist must prepare two diets from these three food groups. the first diet must contain 19 grams of carbohydrate, 14 grams of fat, and 36 grams of protein. how many grams of each food type are required for the first diet?
