According to the nutritional information on a package of General Mill's Honey Nut Cheerios® brand cereal, each 1 ounce serving of Cheerios contains 3 grams protein and 24 grams carbohydrates.† Each half-cup serving of enriched skim milk contains 4 grams protein and 6 grams carbohydrates. (Use matrix inverses to find the solutions.) (a) I am planning a meal of cereal and milk and I want it to supply 36 grams of protein, and 132 grams of carbohydrates. How should I prepare my meal?   (b) If I require A grams of protein and B grams of carbohydrates, give a formula that tells me how many servings of milk and Honey Nut Cheerios to use.

Consider the following system of linear equations (SLE) 2x +y = 7 3x +2y = 12 Solve this SLE geometrically by plotting the two equations on a graph. Compose the augmented matrix corresponding to this SLE. By transforming the augmented matrix to form an echelon form matrix, solve the SLE. Detail each of the transformation steps.

13. Solve the following system of equations by using the inverse of the coefficient matrix: 8.4x - 1.2y = 10.8 3.5x + 2.6y (Round to the nearest tenth) = 6.4 (S 5.2 or W 5.2)

3. Solve the following system using the inverse matrix process. x + 2y Z = -2 2x + 5y z = 2 3x + y 2z = 0 - a) Write the matrix equation with the coefficient matrix, variable matrix and constant matrix. Label each matrix. b) Solve for the appropriate inverse matrix. c) Write the expanded matrix equation inserting the inverse matrix. Solve for the variables.