Matrix Algebra in Structural Analysis

Numerical Linear Algebra and Matrix Analysis

Matrix Algebra Problems with Applications in Psychology and Multivariate Analysis

Students in Multivariate Analysis need to develop skills in working with matrices and reading matrix expressions. Some of the skills which seem to be important are: 1. Performing simple matrix calculations 2. Manipulating algebraic expressions in matrices—substituting identities, simplifying expressions, etc. 3. Formulating substantive and statistical problems in matrix terms—or, recognizing su...

Some results on Haar wavelets matrix through linear algebra

Can we characterize the wavelets through linear transformation? the answer for this question is certainly YES. In this paper we have characterized the Haar wavelet matrix by their linear transformation and proved some theorems on properties of Haar wavelet matrix such as Trace, eigenvalue and eigenvector and diagonalization of a matrix.

Elements of Matrix Algebra

Algebra Universalis Structural entailment

We give a number of characterizations of structural entailment. In particular, we show that an alter ego M∼ structurally entails an algebraic relation s on a finite algebra M if and only if s can be obtained via a local construct from M∼ . We show, via a range of applications, that, whereas entailment is important in the study of dualisability, structural entailment is important in the study of...