Essays on Eigenvalues

In this paper we summarize what’s written in the book “Elementary Linear Algebra” by Howard Anton & Chris Rortes. The book describes the basic methods of elementary linear algebra, linear nature of considering objects: vector (or linear) space, linear transformations, systems of linear equations, quadratic and bilinear forms. The main linear algebra tools considered in this book are systems of linear algebraic equations, determinants, matrixes, conjugation.

The book consists of ten chapters; each part describes one of the major areas of linear algebra.

The first chapter is “Systems of Linear Equations and Matrices”. A System of m linear algebraic equations with n unknown variables (or linear system, also used the abbreviation SLAE) ...

1. Factor Analysis Factor analysis is a statistical procedure utilized for data reduction (Bartholomew et al., 2008). This reduction is reflected in lowering a large number of variables that have similar characteristics, into smaller factors (dimensions). Specifically, based on data reduction, factor analysis is conducted to identify the unobservable and underlying structure of a set of variables which are correlated with each other. These variables are coherent but independent of one another. By coherent it implies that the variables are very consistent and relate with each other harmoniously while independent denotes that the outcomes or the results of each variable are ...

Psychology

(5841 word count)

Abstract

Identifying and predicting psychopathic traits by analyzing childhood behaviours must be based on sound psychometrics to ensure scientifically reliable results. Statistical analysis using G-Power (computer model for calculations) aids in analyszing the results from surveys and personality assessments which are administered to teens and young adults from communities, colleges, juvenile homes and jails in order to understand how the data from self reported questionnaires can reliable be used to predict psychopathic behavior. The ability to do so would be very helpful for counseling and could possibly help avoid psychopathic behaviors in young people that are self-destructive ...

The main purpose of the research is to show that organizational justice leads to better public service. We define organizational justice as the perception of the staff and managers of the company that the organization they are part of is treating them fairly. Fair treatment is measured by effective leadership, employment capability, and costumer focus. The indicators of these three factors are enumerated in the Amoco Renewal Survey. This questionnaire was developed in 1997 and covered questions pertaining to corporate roles and shared services. The way to measure the participants’ perception was to conduct a person to person structured ...