الرئيسيةالرئيسية  اليوميةاليومية  س .و .جس .و .ج  بحـثبحـث  الأعضاءالأعضاء  المجموعاتالمجموعات  التسجيلالتسجيل  دخول  

شاطر | 
 

 حل واجب MT132 (M132): Linear Algebra

اذهب الى الأسفل 
كاتب الموضوعرسالة
whatsapp::00966542495275
Admin


المساهمات : 367
تاريخ التسجيل : 21/03/2016

مُساهمةموضوع: حل واجب MT132 (M132): Linear Algebra   الجمعة مارس 23, 2018 12:56 am


MT132 (M132): Linear Algebra
Tutor Marked Assignment

The TMA covers only chapters 1 and 2. It consists of 4 questions, each question is worth 10 marks. Please solve each question in the space provided. You should give the details of your solutions and not just the final results.

Q−1: Answer each of the following as True or False justifying your answers:
a) [2 marks] If |A| = 1, then AX = O could have more than one solution.
b) [2 marks] Any square matrix A can be written as a sum of symmetric and skew-symmetric matrices.
c) [2 marks] If A is an n×n nonsingular matrix, then A5AT is also nonsingular matrix.
d) [2 marks] If A is an n×n nonsingular matrix such that A-1 = A, then A10 = In.
e) [2 marks] If X1, X2 and X3 are linearly dependent vectors in R3, then X3 is a linear combination of X1 and X2.
Q−2: Consider the linear system: .
a) [3 marks] Find |A|, A is the coefficient matrix for the linear system.
b) [2 marks] If possible, find the inverse of A.
c) [3 marks] Solve the linear system.
d) y + z = 0. Is the new linear system consistent? Explain your answer.[2 marks] Change the third equation in the linear system to x
Q¬−3: Let .
a) [6 marks] Find the matrix A.
b) [4 marks] Find |2A3ATA-1|.

Q−4: Let be a set of vectors in R3.
a) [4 marks] Determine whether the vectors in S are linearly independent.
b) [6 marks] Write, if possible, the vector as a linear combination of the vectors in S.

Arab Open University
Faculty of Business Studies
B203A- Business Functions in Context I
Second Semester 2017-18- Tutor Marked Assessment
PART A: Inventory Management/ ABC analysis (50 marks)
The Dynaco Company stocks a variety of parts and materials it uses in its manufacturing processes. Recently, as demand for its finished goods has increased, management has had difficulty managing parts inventory; they frequently run out of some crucial parts and seem to have an endless supply of others. In an effort to control inventory more effectively, they would like to classify their inventory of parts according to the ABC approach.
Following is a list of selected parts and the annual usage and unit value for each:
Item number Annual usage (items/year) Unit cost ($) Item number Annual usage
(items/year) Unit cost ($)
1 36 350 16 60 $ 610
2 150 30 17 120 20
3 50 23 18 270 15
4 300 45 19 45 50
5 18 1,900 20 19 3,200
6 500 8 21 910 3
7 710 4 22 12 4,750
8 80 26 23 30 2,710
9 344 28 24 24 1,800
10 67 440 25 870 105
11 510 2 26 244 30
12 682 35 27 750 15
13 95 50 28 45 110
14 10 3 29 46 160
15 820 1 30 165 25
B203A TMA Second 2017-18.docx.pdf Saved to Dropbox Mar 6, 2018 at 10@45 PM
Required: Classify the inventory items according to the ABC approach using dollar value of annual demand. What recommendations would you give The Dynaco Company? (150
words)
PART B: Supply network (50 marks, 500 words)
Taking a recent purchase as an example, write an essay to discuss the supply network of your product from raw material
until it arrives to the consumer. You are required to cover the following points in your essay/presentation:
1. Company overview, product overview, major competitors.
2. Stages of the product supply chain or network design, location of raw material in relation to the manufacturer, distributor, retailer and consumer, etc.
3. The relationship between suppliers and customers (first tier, second tier, etc.., horizontal or vertical integration (if any), levels of inventory and where it’s held.
4. Explanation of any problems and suggestions for further improvements of the supply chain.
الرجوع الى أعلى الصفحة اذهب الى الأسفل
معاينة صفحة البيانات الشخصي للعضو http://aoua.forumegypt.net
 
حل واجب MT132 (M132): Linear Algebra
الرجوع الى أعلى الصفحة 
صفحة 1 من اصل 1
 مواضيع مماثلة
-
» linear transformation

صلاحيات هذا المنتدى:لاتستطيع الرد على المواضيع في هذا المنتدى
 :: حل واجبات الجامعه العربيه المفتوحه 2017/2018 :: حلول واجبات 2017/2018 AOU(يشاهدة الآن 1253 زائر)-
انتقل الى: