The concept of determinant plays a central role in many linear algebra concepts and is also applied to other branches of mathematics and science. In this study, we focus on the application of determinant and inverse matrix concepts, in solving systems of equations by a group of 116 in-service mathematics teachers who were studying the topic at a…

This article outlines a problem-centered approach to the topic of canonical matrix forms in a second linear algebra course. In this approach, abstract theory, including such topics as eigenvalues, generalized eigenspaces, invariant subspaces, independent subspaces, nilpotency, and cyclic spaces, is developed in response to the patterns discovered…

A sample of novel verbal problems which can be solved by using systems of linear equations with free variables is presented. The procedure of Gaussian elimination is used to solve the system. (KR)

A variety of uses of algebra in the behavioral and social sciences is provided along with descriptions of several algebraic systems. This volume is intended to be a sourcebook for theoretical conceptualizations for professionals in the behavioral and social sciences. This publication with its emphasis on description, application, and utility…

A nontechnical exposition of graph theory is presented, followed by survey of the literature on applications of graph theory in research in education and related disciplines. Applications include order-theoretic studies of the dimensionality of data sets, the investigation of hierarchical structures in various domains, and cluster analysis.…

Two properties of a wing, namely aspect ratio and wing loading, are described and the matrix approach is used to make certain deductions about particular wing plans. Some examples are provided which show how the matrix transformation of one wing plan into another brings about predictable changes in wing properties. (KR)

Intended as a reference for the convenience of students in sampling, this monograph attempts to express relevant, introductory mathematics and probability in the context of sample surveys. Although some proofs are presented, the emphasis is more on exposition of mathematical language and concepts than on the mathematics per se and rigorous proofs.…

Points out the benefits of students using LOGO with problems dealing with vectors and matrices. Provides examples of performing linear algebraic computations in LOGO. (ML)

Describes three teaching activities for secondary school mathematics classroom: designing a house; guessing the slope function in a calculus course; and solving the six problems of bisymmetric matrices. (YP)

Presented is a scheduling algorithm that uses all the busses at each step for any rectangular array. Included are two lemmas, proofs, a theorem, the solution, and variations on this problem. (KR)

This document consists of two modules. The first of these views applications of algebra and elementary calculus to curve fitting. The user is provided with information on how to: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3) understand the underlying theory of least squares; 4) use a computer program to…