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arXiv · 2510.15933

Nicht-algebraische Didaktik nicht-diagonalisierbarer Matrizen

Mario Teixeira Parente
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Abstract

This article offers a motivating travel guide towards the Jordan normal form, one of the highlights in courses on linear algebra or advanced mathematics. Its itinerary is characterized by a focus on core geometric aspects and the avoidance of algebraic tools. In this way, it attempts to encourage academic lecturers from more applied mathematical contexts to devote more time to one of the most exciting structures of linear algebra in their courses, rather than rushing through it, often using just a definition. -- -- Dieser Artikel bietet einen motivierenden Reiseführer zur Jordanschen Normalform, einem der Höhepunkte in Lehrveranstaltungen zu Linearer Algebra oder Höherer Mathematik, an. Seine Reiseroute zeichnet sich durch die Besinnung auf geometrische Kernaspekte und den Verzicht auf algebraische Hilfsmittel aus. Er versucht so, Hochschuldozenten aus mathematisch angewandteren Kontexten zu ermutigen, einer der spannendsten Strukturen der Linearen Algebra mehr Zeit in ihren Lehrveranstaltungen einzuräumen, anstatt allzu hastig, und nicht selten nur mittels einer Definition, über sie hinweg zu gehen.

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Mario Teixeira Parente. 2025-10-06. Nicht-algebraische Didaktik nicht-diagonalisierbarer Matrizen. https://arxiv.org/abs/2510.15933

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