## CHECK THESE SAMPLES OF ALGEBRA

... = … = an = 0; and
the spanning property,
for every x in V it is possible to choose a1, …, an ∈ F such that x = a1v1 + … + anvn.
10) Rank A = n because in linear **algebra**, the column rank (row rank respectively) of a matrix A with entries in some field is defined to be the maximal number of columns (rows respectively) of A which are linearly independent.
The column rank and the row rank are equal; this common number is simply called the rank of A. It is commonly denoted by either rk(A) or rank A.... **algebra**, an n-by-n (square) matrix A is called invertible, non-singular, or regular.
If an n-by-n matrix exists the matrix must be square.
6) A is expressible as a product of elementary matrices, because every elementary...

3 Pages(750 words)Essay

...).
Despite this attention from some of the U.K.’s highest scholars, **algebra** students of all ages continue to struggle, and there is a consensus that it is best to introduce students to **algebra** after they have learned arithmetic, thus beginning in pre-16 schools.
Introducing **Algebra**
When introducing something new to anyone, it is often helpful to begin by defining major terms, thus briefly explaining the nature of the subject and providing some context for what is to come. Unfortunately for students, there does not seem to be a single, readily understandable definition of **algebra**, as shown by these representative examples:
The branch of mathematics in which letters...

4 Pages(1000 words)Essay

... or variables and constants (Larson, Kanold & Stiff 277) that are so far away from the layman’s life. In addition, the internet is widely used now by most entrepreneurs who are the focus of this study who would greatly benefit in knowing how their businesses will succeed in a number of months or years. These projections will not only catch a large number of entrepreneurs’ attention but will also let them appreciate the faculty of this study, seeing the beauty of **algebra** in the solution of such disciplines as economics as well as engineering, physics and geometry (Ellis & Gullick 67).
Background: I will conduct my study through online and face to face interviews with at least twenty entrepreneurs. I will avail of copies of their monthly...

3 Pages(750 words)Assignment

... is six years.
The above formula can be rearranged and with enough data, we can easily find out the values of different variables.
Discussion # 3 Parallel and Perpendicular
Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate **Algebra**).
Given an equation of a line, find equations for lines parallel or perpendicular to it going through specified points. Simplify your equations into slope-intercept form.
Write the equation of a line parallel to the given line but passing through the given point. Y=x+4;(-7,1)
y = x + c
1 = -7 + c
c = 8
Write the equation of a line perpendicular to the given line but passing through the given point. Y= -x +1;(4,2)
Gradient...

4 Pages(1000 words)Essay

... Matrix Analysis Linear **Algebra** SVD 1a Compute the residue matrices Rj,k associated with λj. Our aimis to show that it is almost diagonal. We recall that Rn is a circulant matrix. This is approximated by circulant matrices R (z) and can be written as the sum of two circulant matrices, plus some error that will be bind. To define two circulant matrices Rj,1 and Dj,1, we observe the upper right upper side of the circulant matrix.
It is recalled that often, we may transform the data because it may be easier to analyze the transformed data. The same applies here.
1b.) A=∑j=1h(λjPj+Dj)
Let A be a self-adjoint matrix, A = A* with spectral decomposition above. Then
(zI-A)-1=∑λ\ σ(A). (1/z-λ)Pλ, for all z ∈ C \ σ(A)
Note that for numbers z with ρ...

8 Pages(2000 words)Speech or Presentation

... due: Graphs of equations and inequality In mathematics, inequality is said to be two values that are not equal. Therefore, inequality is an **algebraic** equation showing that the quantity that is greater than or equal to another inequality sign. An inequality always refers to an integer greater than or equal to or even less than or equal to. It tells one of the quantity or size of commodities or values (Pachpatte 1). There are four inequalities symbols, and they include less than (<), greater than (>), greater than or equal to (≥), less than or equal to (≤). These symbols are employed in quadratic equations. Moreover, solving linear inequalities is almost the same when solving linear equations, except from when solving linear inequalities... due: Graphs of...

1 Pages(250 words)Personal Statement

... the systems of equation, the results will be in such a form that:
0 = 0, that is true in all cases. Such systems are known as “dependant systems” (Algebra.com, 2014).
References
Algebra.com. (2014). Lesson Types of systems - inconsistent, dependent, independent. Retrieved 2 November 2014, from http://www.algebra.com/**algebra**/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson
Desmos Graphing Calculator,. (2014). Desmos Graphing Calculator. Retrieved 2 November 2014, from https://www.desmos.com/calculator... **Algebra** for Business: Types of systems: Inconsistent or Dependent Corse **Algebra** for Business: Types of systems: Inconsistent or Dependent
Systems of equation with one or...

1 Pages(250 words)Essay

...with a statement of the problem that will lead to a detailed understanding of the situation. It will then review various literature to determine the reasons behind failure and the best approach that could lead to improved performance in college **algebra**. To improve the learning of college **algebra**, many institutions adopt various techniques such as the emporium and online models. One of the techniques proposed in the paper is the emporium model that has been found to work in many colleges. In collecting data to determine the clear state of the problem, the paper will employ the technique of Quantitative correlation design.
Background of the problem
Intermediate **algebra** is a vital...

7 Pages(1750 words)Research Paper

... illustrate fundamental results of the **algebra** study. The program must address what is important or significant in the **algebra** field of study. Secondly, the learning outcome should illustrate the activities that the students are engaged in; for instance, the type of mathematical calculations involved in **algebra** studies. The learning outcomes must enable the students to apply the knowledge acquired; for instance, using the **algebra** knowledge to analyze experiment results. The learning outcome must have a time frame for realizing specific goals. The most appropriate timeframe for evaluation is at the end of every one year in college. The learning outcomes should be specific and also measurable (Spooner, 2007).
Three categories of learning...

5 Pages(1250 words)Research Paper

Use the definition of matrix multiplication and the definition of the trace of a matrix, to show the above equality holds for any such matrices S and H.

If the expected $/-rate for 1 years time is 1.50, is the expected rate /$-rate 2/3, <2/3, or > 2/3? (Hint: the expected yearly $/-rate is defined as the $/-daily rate 1/n sum Xi where Xi is the $/-rate on an ith day, i = 1, ..., n = 365 and the expected /$-rate is defined as 1/n sum 1/Xi.)

Currencies A and B have a correlation of 0.8, and currencies B and C a correlation of 0.9. What is the least the correlation between A and C can be? (Hint: write down the 3 x 3 correlation matrix ( ij) i, j = 1, 2, 3 between the currencies. If we denote by x the corre...

15 Pages(3750 words)Math Problem