4. Yogurt Company makes three yogurt blends: LimeOrange, using 2 quarts of ime yogurt and 2 quarts of orange yogurt per...
4. Yogurt Company makes three yogurt blends: LimeOrange, using 2 quarts of ime yogurt and 2 quarts of orange yogurt per gallon; LimeLemon, using 3 quarts of lime yogurt and 1 quart of lemon yogurt per gallon; and OrangeLemon, using 3 quarts of orange yogurt and 1 quart of lemon yogurt per gallon. Each day the company has 800 quarts of lime yogurt, 650 quarts of orange yogurt, and 350 quarts of lemon yogurt available. 4a. Design a matrix R of size 3x3 for Lime, Orange, and Lemon Yougart 4b. Find Null(R), Row(R), Col(R), and Eig(R) 4c. Find Ba(Null(R)), Ba(Row(R)),Ba(Col(R)), and Ba(Eig(R) 4d. Calculate Dim(Null(R), Rank(Null(R)), Nullity(Null(R)), Dim(Row(R), Rank(Row(R)), Nullity(Row(R) Dim(Col(R), Rank(Col(R), Nullity(Col(R) Dim(Eig(R), Rank(Eig(R), Nullity(Eig(R)) 4e. Is R diaganalizable? If yes then diagonalize it
4. Yogurt Company makes three yogurt blends: LimeOrange, using 2 quarts of ime yogurt and 2 quarts of orange yogurt per gallon; LimeLemon, using 3 quarts of lime yogurt and 1 quart of lemon yogurt per gallon; and OrangeLemon, using 3 quarts of orange yogurt and 1 quart of lemon yogurt per gallon. Each day the company has 800 quarts of lime yogurt, 650 quarts of orange yogurt, and 350 quarts of lemon yogurt available. 4a. Design a matrix R of size 3x3 for Lime, Orange, and Lemon Yougart 4b. Find Null(R), Row(R), Col(R), and Eig(R) 4c. Find Ba(Null(R)), Ba(Row(R)),Ba(Col(R)), and Ba(Eig(R) 4d. Calculate Dim(Null(R), Rank(Null(R)), Nullity(Null(R)), Dim(Row(R), Rank(Row(R)), Nullity(Row(R) Dim(Col(R), Rank(Col(R), Nullity(Col(R) Dim(Eig(R), Rank(Eig(R), Nullity(Eig(R)) 4e. Is R diaganalizable? If yes then diagonalize it