Introduction to Matrix Algebra - Statpower

4 Introduction to MatrixAlgebraIn the previous chapter, we learned the algebraic results that form the founda-tion for the study of factor analysis and structural equation modeling . Theseresults, powerful as they are, are somewhat cumbersome to apply in morecomplicated systems involving large numbers of variables. Matrix algebraprovides us with a new mathematical notation that is ideally suited for de-veloping results involving linear combinations and transformations. Once wehave developed a few basic results and learned how to use them, we will beready to derive the fundamental equations of factor analysis and BASIC TERMINOLOGYD efinition ( Matrix )Amatrixis defined as an ordered array of numbers, ofdimensionsp, standard notation for a matrixAof orderp,qwill be:pAqThere are numerous other notations. For example, one might indicate amatrix of orderp,qasA(p q).

4 Introduction to Matrix Algebra In the previous chapter, we learned the algebraic results that form the founda-tion for the study of factor analysis and structural equation modeling.

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  Introduction, Modeling, Structural, Equations, Matrix, Algebra, Structural equation modeling, Introduction to matrix algebra

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