Assignment #  2

MTH603 (Spring 2011)

 Total marks: 10

Lecture # 9-14

Due date: 29-4-2011

 DON’T MISS THESE Important instructions:

• Upload assignments properly through LMS only, (No Assignment will be accepted through email).
• All students are directed to use the font and style of text as is used in this document.
• In order to attempt this assignment you should have full command on

Lecture # 01 to Lecture # 08.

• This is an individual assignment, not group assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others.
• Above all instructions are for all assignments so may not be mentioned in future.
• There are 3 questions in the assignment but only one question will be graded. However we are not mentioning that which question will be graded so you have to provide the solution of all 3 questions.
• Solve the assignment on MS word document and upload your word (.doc) files only. Do not solve the assignment on MS excel. If we get any assignment on MS excel or any format other than word file then it will not be graded.
• Assignments through e-mail are not acceptable after due date (If there is any    problem in submitting your assignment through LMS, you can send your solution file through email with in due date). You are advised to upload your assignment at least two days before Due date.

 Question#1                                                                                            Marks 10

 By using Gauss –Jordan elimination method, solve the following system of equations,

 Question#2                                                                                             Marks 10

 Solve the following system of equations

 By Jacobi’s iterative method taking the initial starting of solution vector as

and perform the first three iterations.

 Question#3                                                                                             Marks 10

 Solve Question No. #2 by Gauss-Seidel iterative method and perform first three iterations. What you see the difference after solving the same question by two different iterative methods? Give your comments.