Finding the Eigenspaces of a Matrix with GeoGebra

Mančevska, Sonja and Karamazova Gelova, Elena and Kocaleva, Mirjana (2023) Finding the Eigenspaces of a Matrix with GeoGebra. In: 13th International Conference on Applied Internet and Information Technologies AIIT 2023, 13 Oct 2023, Bitola, Republic of North Macedonia.

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Abstract

In this paper we present the design of two GeoGebra applets for solving problems involving
eigenspaces of a given matrix. One applet features the steps of the standard procedure for
finding the eigenvalues and the corresponding linearly independent eigenvectors which will
span the eigenspaces. As an additional result, this applet gives an answer to the question
whether a given matrix can be diagonalized (by displaying its modal and spectral matrix), or
not. The other applet is based on the GeoGebra’s commands for the eigenvalues and the Jordan
canonical form of a given matrix. It automates the extraction from the similarity matrix in the
Jordan decomposition the basis for each of the eigenspace.

Item Type:	Conference or Workshop Item (Paper)
Subjects:	Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Elena Karamazova Gelova
Date Deposited:	11 Dec 2023 10:53
Last Modified:	11 Dec 2023 10:53
URI:	https://eprints.ugd.edu.mk/id/eprint/32849

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