Journal article
A Matlab Workbook on the Pedagogy of Generalized Eigenvectors
Computer applications in engineering education, v 25(3), pp 411-419
01 May 2017
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
The pedagogical aspects of generalized eigenvectors are demonstrated using a Matlab workbook. With the simple input of a square matrix, the workbook displays the theoretical background, classifies the matrix as defective or non-defective, and processes the matrix further. It obtains the algebraic and geometric multiplicities, and identifies the eigenvalues making the matrix defective. The generalized eigenvectors are calculated and displayed, every step fully annotated to bring out the didactic aspects. These include reiteration of the multiplicities and association of specific eigenvalues with eigenvector and generalized eigenvectors. Unlike simple Matlab scripts that provide eigenvalues and eigenvectors without validation, the workbook generates the matrix exponential using eigenvalues and eigenvectors and compares it to matrix exponentials obtained using inverse Laplace transforms and directly in Matlab. The workbook with annotations, verification and displays matching instructor's classroom work can be expected to enhance the understanding of eigenvectors, generalized eigenvectors, multiplicities, fundamental matrix, and matrix exponential. (C) 2017 Wiley Periodicals, Inc.
Metrics
Details
- Title
- A Matlab Workbook on the Pedagogy of Generalized Eigenvectors
- Creators
- P. M. Shankar - Drexel University
- Publication Details
- Computer applications in engineering education, v 25(3), pp 411-419
- Publisher
- Wiley
- Number of pages
- 9
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Electrical and Computer Engineering
- Web of Science ID
- WOS:000401234100007
- Scopus ID
- 2-s2.0-85014889769
- Other Identifier
- 991019184028304721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Computer Science, Interdisciplinary Applications
- Education, Scientific Disciplines
- Engineering, Multidisciplinary