Given the following system of linear equations b – c + d + 2f = 0 2a + 5b – 2c – d + 3e + 6f = 6 a – b – 2d + 6e + 7f = 8 a + b + c – d – e – 6f = 3 3a – 9b + 4c – 5d – e + 2f = -1 -2a – 3b + 3c + 2d + e = 11 write the system in the form Ax = b. Then, write a MATLAB program that contains the following: a. a function that performs Gaussian elimination to find the upper triangular form of the matrix A and the corresponding vector b, and b. a function that performs back substitution to solve the system of equations. For this function, think about matrix indices and the pattern involved in back substitution.

Write an application that allows a user to enter the names and birthdates of up to 10 friends. continue to prompt the user for names and birthdates until the user enters the sentinel value “zzz” for a name or has entered 10 names, whichever comes first. when the user is finished entering names, produce a count of how many names were entered, and then display the names. in a loop, continuously ask the user to type one of the names and display the corresponding birthdate or an error message if the name has not been previously entered. the loop continues until the user enters “zzz” for a name. save the application as birthdayreminder.java.

The width of a piece of rectangular land is 5m shorter rhan 1/3 of its length .find the width of the land if the length is 60m,150m.

Businesses allocate resources for their best and most productive uses. the more a resource, the more costly it will be. a manufacturer that requires scarce and costly resources is likely to charge for its products.