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 ...
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Abstract
This paper strives to prove different invertible matrices theorems. The following are some of the theorems that the paper will justify - A is an invertible matrix - A is row equivalent to the n × n identity matrix - A has n pivot positions - The equation Ax=0 has only the trivial solution - The equation Ax=b has at least one solution for each b in RN. - The columns of A spans RN - The linear transformation X→Ax maps RN onto RN. - There is an n × n matrix ...
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