( TECHNOLOGY SHARING CENTER ) لـطلاب الجامعة العربية المفتوحة
اهلا بك في منتدانا

( TECHNOLOGY SHARING CENTER ) لـطلاب الجامعة العربية المفتوحة

كورسات - ملخصات - حل واجبات الجامعة العربية المفتوحة واتس اب 00966596368034 ايميل : aou_sheets@yahoo.com واتس اب 00966596368034
 
الرئيسيةالرئيسية  اليوميةاليومية  س .و .جس .و .ج  بحـثبحـث  التسجيلالتسجيل  دخولدخول  

شاطر | 
 

  Q−3: [4+3+3 marks] Find all values of k for which the linear system a) Has a unique solution; b) Has infinitely many solutions; c) Has no solutions.

استعرض الموضوع السابق استعرض الموضوع التالي اذهب الى الأسفل 
كاتب الموضوعرسالة
Admin
Admin


عدد المساهمات : 101
نقاط : 242
تاريخ التسجيل : 17/10/2016

مُساهمةموضوع: Q−3: [4+3+3 marks] Find all values of k for which the linear system a) Has a unique solution; b) Has infinitely many solutions; c) Has no solutions.   الإثنين أبريل 10, 2017 8:28 pm

M132: LINEAR ALGEBRA
Tutor Marked Assignment

Cut-Off Date: Week of April __, 2017 Total Marks: 60



Contents Page
Feedback form ……….……………..…………..…………………….…...….. 2
Question 1……………………..………………………………………..……… 3
Question 2……………………………..………………..……………………… 4
Question 3………………………………..………………..…………………… 4
Question 4………………..……………………………………..……………… 5
Question 5 ……………………..………………………………………..……… 5
Question 6 ……………………………..………………..……………………… 6


Plagiarism Warning:
As per AOU rules and regulations, all students are required to submit their own TMA work and avoid plagiarism. The AOU has implemented sophisticated techniques for plagiarism detection. You must provide all references in case you use and quote another person's work in your TMA. You will be penalized for any act of plagiarism as per the AOU's rules and regulations.

Declaration of No Plagiarism by Student (to be signed and submitted by student with TMA work):
I hereby declare that this submitted TMA work is a result of my own efforts and I have not plagiarized any other person's work. I have provided all references of information that I have used and quoted in my TMA work.

Name of Student:
Signature:
Date:


M132 TMA Feedback Form

[A] Student Component

Student Name:

Student ID Number:

Course Section Number:

[B] Tutor Component

Tutor Name:

QUESTION 1 2 3 4 5 6
MARK 10 10 10 10 10 10
SCORE
TOTAL

Tutor’s Comments:


The TMA covers chapters 1 and 2. It consists of 6 questions, each worth 10 marks for a total of 60 marks. Solve each question in the space provided. You should give the details of your solutions and not just the final results.
Q−1: [5×2 marks]
Answer each of the following as True or False (justify your answer):

a) If A is a 2×3 matrix, then ATA = AAT.





b) If A and B are n×n nonsingular matrices, then A – B is nonsingular.





c) If A and B are 3×3 matrices with |A| = 2 and |B| = 3, then |2AB-1| = 4/3.






d) If |A| = -1, then AX = O has only the trivial solution.




e) The vectors v1 = and v2 = are linearly dependent.





Q−2: [6+4 marks]
Let
a) Find a matrix B in reduced row echelon form that is row equivalent to A;
b) Solve the linear system AX = O.







Q−3: [4+3+3 marks] Find all values of k for which the linear system


a) Has a unique solution;
b) Has infinitely many solutions;
c) Has no solutions.







Q¬−4: [6+4 marks] Let

a) Find A-1;
b) Find a matrix C for which CA-1 = (AB-1)-1 + A-1.











Q¬−5: [6+4 marks] Let
a) Find |A|;
b) Deduce |-2A2| and |3A-1|.















Q−6: [5+5 marks]:
a) For which real numbers are the following vectors linearly independent in R3:
.
b) If = 2, determine if the vector is a linear com
الرجوع الى أعلى الصفحة اذهب الى الأسفل
http://aoutma.ahlamontada.com
 
Q−3: [4+3+3 marks] Find all values of k for which the linear system a) Has a unique solution; b) Has infinitely many solutions; c) Has no solutions.
استعرض الموضوع السابق استعرض الموضوع التالي الرجوع الى أعلى الصفحة 
صفحة 1 من اصل 1
 مواضيع مماثلة
-
» epreuve5
» الكيمياء التحليلة
» System Lockdown Policy
» The Basic Parts of a Drip System
» حصريا لعبة CraZy Taxi 1 خرافة

صلاحيات هذا المنتدى:لاتستطيع الرد على المواضيع في هذا المنتدى
( TECHNOLOGY SHARING CENTER ) لـطلاب الجامعة العربية المفتوحة  :: منتدى المواد العامة و الاجبارية-
انتقل الى: