@asad-saab

Fall 2023

MTH603

Assignment # 1

Section In charge: Husna Muzaffar Total Marks 20

Instructions

To solve this assignment you need to have a good grip on lectures 1-15.
The course is segmented into four sections, each of which is supervised by a different faculty member. Information regarding the section in charge can be

found in the course information section on the LMS.
A distinct assignment file has been given to each section, resulting in a total

of four separate assignment files. The relevant assignment file can be downloaded from the announcement section of the course. It is important to note that students can only view the announcements relevant to their respective sections.
You will prepare the solution of assignment on Word file and upload at the assignment interface on LMS as per usual practice.
Plagiarism in the submitted assignment will lead to a zero grade. Additionally, any student who submits a solution file that is not applicable to their section will also get a zero grade.

𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧# 𝟏: Marks 10 Solve the system of equations by using Crout’s method.

2𝑥 + 5𝑦 + 3𝑧 = 16

𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧# 𝟐:

Marks 10

3𝑥 + 𝑦 + 2𝑧 = 11 −3𝑥 + 7𝑦 + 8𝑧 = 10

Solve the following system of equations by using Jacobi′s iterative method for the first three iterations by taking initial starting of solution vector as (0,0,0). 8𝑥 − 2𝑦 − 2𝑧 = 3

−2𝑥 + 6𝑦 + 𝑧 = 9

−2𝑥+𝑦+7𝑧= 6

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