Matrices
Question 1.
Let A = 
and B = 
a. The size of A is ________
b. The entry 
is ______
c. The size of the product AB is ______
d. Compute the product AB.
Question 2.
Hank's Hamburger Haven is planning a company party. Plain burgers each require one beef patty and one bread roll, double cheeseburgers each require two beef patties, one bread roll and two slices of cheese, and regular cheeseburgers each require one beef patty, one bread roll and one slice of cheese. Hank estimates he should make 20 plain burgers, 30 cheeseburgers and 50 double cheeseburgers. Set up a matrix produce and use it to determine the number of beef patties, bread rolls and cheese slices will he need.
Question 3.
Consider the equation AX = B where A = 
and B = 
a. Find the inverse of the coefficient matrix A.
b. Solve the system AX = B for X using the inverse in Part a.
Question 4.
Gerber Mixed Cereal for Baby contains in each serving 60 calaries and 11 grams of carbohydrates. Gerber Mango Tropical Fruit contains in each serving 80 calaries and 21 grams of carbohydrates. You want to provide your child with one serving of the Mixed Cereal and 2 servings of the Tropical Fruit.
Select the matrix product below which calculates the total amount of calaries and carbohydrates provided.
A. 
B. 
Question 5.
Gerber Mixed Cereal for Baby contains in each serving 60 calories and 11 grams of carbohydrates. Gerber Mango Tropical Fruit contains in each serving 80 calories and 21 grams of carbohydrates. You want to provide your child with exactly 200 calories and 43 grams of carbohydrates.
Select the problem below that you would solve to find the number of servings of each to use.
A. 
B. 
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