Question 1. The following bullets describe the vitamin content in mg (for Vitamin A, Vitamin C, and Folate) of a single serving of three different types of fruit: 0 Each serving of pumpkin contains 0.025 mg of Vitamin A, 16 mg of Vitamin C, and 0.007 mg of Folate. a Each serving of banana contains 0.008 mg of Vitamin A, 10 mg of Vitamin C, and 0.016 mg of Folate. 0 Each serving of lychee contains 0.002 mg of Vitamin A, 23 mg of Vitamin C, and no Folate. Suppose you are on a strict diet, and insist on a daily intake of 0.8 mg of Vitamin A, 80 mg of Vitamin C, and 0.4 mg of Folate. Set up a linear system of equations for mp, m5, and an, the number of servings of pumpkins, bananas, and lychees, respectively, which you need to consume on a daily basis in order to meet your desired intake. You do NOT need to solve the system of equations, and you do NOT need to worry about whether or not a unique solution with newscast; 2 0 exists. Quest ion 2. 1. Consider the vectors 1 0 3 3 v1 = 4 , v2 = 7 , V3 3 and b = 12 2 2 1 -6 Suppose you were asked to determine if b could be written as a linear combination of v1,v2,v3. Write down an augmented matrix corresponding to the linear system whose solutions would answer this question. 2. Consider the vectors v1,v2, . . . , v\