By Steven Karris
This article comprises the next chapters and appendices: Numbers and mathematics Operations, simple Algebra, Intermediate Algebra, basics of Geometry, basics of aircraft Trigonometry, basics of Calculus, arithmetic of Finance and Economics, Depreciation, Impairment, and Depletion, creation to chance and statistics, Random Variables, universal chance Distributions and exams, Curve becoming, Regression, and Correlation, research of Variance (ANOVA), advent to MATLAB, The Gamma and Beta capabilities and Distributions, creation to Markov Chains, The Lambda Index, The Black-Scoles inventory ideas version, The Altman financial disaster Z-Score. for more information. please stopover at the Orchard guides website.
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If A = aij and B = b ij are conformable for addition (subtraction), their sum (difference) will be another matrix C with the same order as A and B, where each element of C represents the sum * To some readers, this material may seem too boring and uninteresting. However, it should be read at least once to become familiar with matrix terminology. We will use it for some practical examples in later chapters. 3 Compute A + B and A – B given that A = 1 2 3 0 1 4 and B = 2 3 0 –1 2 5 Solution: A+B = 1+2 0–1 2+3 1+2 3+0 = 3 5 4+5 –1 3 A–B = 1–2 0+1 2–3 1–2 3 – 0 = –1 –1 3 4–5 1 –1 –1 3 9 and If k is any scalar (a positive or negative number) and not [ k ] which is a 1 × 1 matrix, then multiplication of a matrix A by the scalar k is the multiplication of every element of A by k .
We will not discuss them here since their applications to business, basic science, and technology are limited. They are useful in higher mathematics applications and in engineering. 7 Measures of Central Tendency Measures of central tendency are very important in probability and statistics and these are discussed in detail in Chapters 8 through 12. The intent here is to become familiar with terminologies used to describe data. When we analyze data, we begin with the calculation of a single number, which we assume represents all the data.
2. Graph to define interpolation and extrapolation Let us assume that the values x 1 , y 1 , x 2 , and y 2 are known. Next, let us suppose that a known value x i lies between x 1 and x 2 and we want to find the value y i that corresponds to the known value of x i . We must now make a decision whether the unknown value y i lies on the straight line segment that connects the points P 1 ( x 1, y 1 ) and P 2 ( x 2, y 2 ) or not. In other words, we must decide whether the new point P i ( x i, y i ) lies on the line segment P 1 P 2 , above it, or below it.