A Problem-Centered Approach to Canonical Matrix Forms

Autor/in	Sylvestre, Jeremy
Titel	A Problem-Centered Approach to Canonical Matrix Forms
Quelle	In: PRIMUS, 24 (2014) 3, S.247-256 (10 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2013.865691
Schlagwörter	Problem Based Learning; Matrices; Algebra; Mathematical Concepts; Undergraduate Study; College Mathematics; Mathematics Instruction; Mathematical Applications; Problem Solving; Theory Practice Relationship + Suchen Sie Ihr Suchwort? Problem-based learning; Problemorientiertes Lernen; Matrizenrechnung; Grundstudium; Mathematics lessons; Mathematikunterricht; Angewandte Mathematik; Innermathematische Anwendung; Problemlösen; Theorie-Praxis-Beziehung
Abstract	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 in studying similarity classes of square matrices, rather than as a disconnected prerequisite to this topic. Furthermore, the subtopics involved afford an opportunity to highlight many common mathematical problem-solving techniques and philosophies. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10