Matlab Problems:

PROBLEM 3: In practice many times you have to use other people's data. The file text "HM.txt" is an example of a matrix saved in a text file and it is available under ELMS->Matlab-> Files. Copy it in the folder from which you run Matlab. a) Load this matrix as the variable HM (for huge matrix). USE A SEMICOLON at the end of your import command. Hint: Search for help on importdata b) HM is an augmented matrix for a system. How many equations and how many variables does the system have? c) Row-reduce HM and print out the 5x5 lower right corner (that is, entries (96:100,96:100 0Bas nour mwer t iabl di PROBLEM 4: For the data in problem 4 section 1.10 (same in fourth and fifth edition of Lay's textbook) and the ones in Table 1 section 1.10 in the text: (a) Set-up in MATLAB a matrix equation whose solution determines the amounts of nonfat milk, soy flour, whey and isolated soy protein (ISP) necessary to supply exactly the precise amounts of protein, carbohydrate, fat and calcium in the Cambridge diet; (b) State what the rows and columns in the matrix represent and what the variables represent; (c) Solve the equation and discuss your answer. PROBLEM 3: In practice many times you have to use other people's data. The file text "HM.txt" is an example of a matrix saved in a text file and it is available under ELMS->Matlab-> Files. Copy it in the folder from which you run Matlab. a) Load this matrix as the variable HM (for huge matrix). USE A SEMICOLON at the end of your import command. Hint: Search for help on importdata b) HM is an augmented matrix for a system. How many equations and how many variables does the system have? c) Row-reduce HM and print out the 5x5 lower right corner (that is, entries (96:100,96:100 0Bas nour mwer t iabl di PROBLEM 4: For the data in problem 4 section 1.10 (same in fourth and fifth edition of Lay's textbook) and the ones in Table 1 section 1.10 in the text: (a) Set-up in MATLAB a matrix equation whose solution determines the amounts of nonfat milk, soy flour, whey and isolated soy protein (ISP) necessary to supply exactly the precise amounts of protein, carbohydrate, fat and calcium in the Cambridge diet; (b) State what the rows and columns in the matrix represent and what the variables represent; (c) Solve the equation and discuss your