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Linear Equations...?**Linear** Equations: **Linear** equation, an important concept in algebra was invented by Rane Descartes. Descartes was born in 1596 in France. He studied mathematics from the book of Culvius. **Linear** algebra was followed by the development of determinants in 1693 and Cramer presented his theory to solve systems of **linear** equations in 1750. Dependent and Independent Variables analysis started developing thereafter. **Linear** models formation was naturally a next step further for the solution of several real life issues. (A Brief History) **Linear** equation concept gave birth to the dependent and independent variables. **Linear** equation...

3 Pages(750 words)Research Paper

Diversity Dimension...lower percentage of participation in the workforce as compared to those without disability. They were at 54% as compared to 83% of those without disability. **One** of the priority outcomes of the National Disability Strategy 2010-2020 is to raise job opportunities as a way of improving economic state and personal safety for disabled people (Monicah and Pepper, 2007) A Business Case Argument to Address Diversity **Dimension** In building a case for age diversity in the workforce, this study aims at exploring the main benefits of diversity. Businesses incorporating an age diversity strategy are more likely to benefit in various ways (Strachan et al, 2009). The main benefits of age diversity in the workforce are:...

8 Pages(2000 words)Essay

Linear Function...Session Long Project Write a brief paper describing a **linear** function that comes from your own life. It should relate a particular 'thing' to another 'thing'. It could be something about the amount of money you spend, the number of minutes you spend on the phone, number of miles you run each day, number of push ups, etc...
Life is mixture of all types of function. Every thing we do is related to some other thing in our life in **one** or other way, linearly or nonlinearly. As an example duration for which our phone work is inversely proportional to the number of minutes you spend on the phone. More time you spend on phone, less time the battery last. Again amount of water needed is directly proportional to...

2 Pages(500 words)Essay

Linear and Non Linear Programming...and is quite simple. However, when more than **one** inequality constraint is involved, **linear** programming will be a better method. In fact, the **linear** programming technique differs from the classical optimisation technique based on calculus, and it deals with optimisation problem in which the optimiser faces inequality constraints, and where the constraints as well as the objective function are all **linear** rather than non-**linear**. For example, while making the purchase decision, the buyer is required to finance the expenditure out of his or her budgeted income, B. Thus:
B=Px X+Py Y, where x and y are quantities of two items purchased at their respective...

7 Pages(1750 words)Essay

Linear Correlation...This study tests the correlation between chief executive officers (CEO) salaries and the degree of success of a company. The data of CEO Salaries andtotal Revenue in 2006 was collected for different organization from various respective companies. The data comprised 25 different companies of different size and market capitalization. It was expected to find strong positive correlation between CEO salaries and organization total revenue. Statistical analysis was conducted to conclude evidence in this relationship.
Null Hypothesis: (Ho)
There is no correlation between chief executive officer salaries and their respective company net revenues.
Alternative Hypothesis: (HA)
Chief executive officer salaries are positively correlated... study tests...

2 Pages(500 words)Essay

Linear Programming...Summary Brass Ltd. is in need of an optimal solution to its product manufacturing problem. The problem involves manufacturing of two products amid a number of constraints such as availability of capacity, regulations on maximum output and controlled selling prices. The purpose of the report is to find an optimal solution to this problem using a **linear** programming model. The model has been solved using excel solver and the optimal solution is obtained. Further, a sensitivity analysis has been used to consider the impact of capacity increase on profitability. The report concludes with a few recommendations.
1. Problem Statement
Brass Ltd. manufactures two products named Masso and Russo. These products require machining and...

5 Pages(1250 words)Assignment

LINEAR ALGEBRA...**LINEAR** ALGEBRA QUESTIONS Question 7 marks] é1 2 ê 5 b ù ú é1 2 0 3 ù ê ú The reduced row echelon form of
A = ê4
a 17
- 22ú is equal to R = ê0 0 1
- 2ú .
ëê row3 úû
êë0 0 0
0 úû
(a) What can you say about row 3 of A? Give an example of a possible third row for A.
This is a null row representation that the results become zero due to the figures of R which are equivalent to zero.
(b) Determine the values of a and b.
{1, 2, 5, 1} {b} = {1, 2, 0, 3}
{4, 1, 17, -22} {a} = {0, 0, 1, -2}
B=1
A =0
(c) Determine the solution of the homogeneous system of equations Rx = 0 in parametric vector form.
Rx = 0
Row 3 – {0, 0, 0)
(d) What is the **dimension** of the column space of A? Do the columns of A span R3...

1 Pages(250 words)Admission/Application Essay

Linear algebra... Response to question Proof Let K. Because K/V is finite, K would be algebraic over V. So let f(x) F[x] such that f 0. In this case, we make the assumption that f is monic irreducible. Hence,
= xn + an-1xn-1 + _ _ _ + a1x + a0 such that a0 6= 0.
Then
1 = )
Since V is a ring containing F the term at the far right will belong to V thus will be invertible V. V will inherit the different qualities in the field since it is contained in field K.
Response to question 2.
Proof
In this case, (p) I. Considering Z[x]/(p) Z/pZ[x]. When Z/pZ is a field, it will be given that Z/pZ[x] would be a PID. If I is the image of I in the canonical projection of Z[x] into Z[x]=(p). Then I would principally be obtained by f(x). In this case, f(x) I... Response...

1 Pages(250 words)Speech or Presentation

Linear programing...**Linear** programming individual assignment Electronic Components Inc. manufactures a new radio system suitable for a variety of business and personal uses. The distribution channels for the new radio are:
1.- Marine equipment distributors.
2.- Business equipment distributors.
3.- National chain of retail stores.
4.- Mail order.
Because of differing distribution and promotional costs, the profitability of the product will vary depending on the distribution channels chosen, because of a difference in the promotional costs. In addition, the advertising cost and the personal sales effort required will also vary. The following table summarizes the contribution to profit, advertising cost, and personal sales effort for each...

2 Pages(500 words)Assignment

Cultural dimension...AN IN-DEPTH INTERVIEW TO IDENTIFY THE CULTURAL **DIMENSIONS** of due: An In-Depth Interview to Identify the Cultural **Dimensions**
1.0 Introduction
The intent of this report is to examine whether cultural differences are apparent amongst students of different nationalities and if so whether any of the characteristics can be identified in the previous research findings. Two students were interviewed, and the data collected, and analysed. The findings were made as follows.
1.1 The following sections will present an overview of the research method, the data analysis and finally the conclusion reached.
2.0 Methodology
The primary perspective of the research was to examine whether cultural differences are apparent...

1 Pages(250 words)Assignment