20.500.12556/RUL-179895 Analogy and generalization as a driving force of learning mathematics - the case of a matrix analog of a zero of a polynomial The concepts of polynomials and matrices essentially expand and enhance the elementary arithmetic of numbers. Once introduced, polynomials and matrices open up new interesting mathematical challenges which extend to new fields of mathematical explorations within university mathematics. We present an aspect of a rather elementary exploration of polynomials and matrices, which offers a new perspective and an interesting matrix analog to the concept of a zero of a polynomial. The discussion offers an opportunity for better comprehension of the fundamental concepts of polynomials and matrices. As an application, we are led to the meaningful questions of linear algebra and to an easy proof of the otherwise advanced and abstract Cayley-Hamilton theorem. analogy zero numbers matrices polynomials true false true Angleški jezik Ni določen Članek v reviji 2026-02-26 12:55:37 2026-02-26 12:55:40 2026-03-19 04:46:19 0000-00-00 00:00:00 2025 0 0 Str. 951-963 no. 9/10 Vol. 35 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512:37.091.3 1051-1970 10.1080/10511970.2024.2352362 227129603 Analogy_and_Generalization_as_a_Driving_Force_of_Learning_Mathematics___the_Case_of_a_Matrix_Analog_of_a_Zero_of_a_Polynomial.pdf Analogy_and_Generalization_as_a_Driving_Force_of_Learning_Mathematics___the_Case_of_a_Matrix_Analog_of_a_Zero_of_a_Polynomial.pdf 1 C724E56D78738B9D074335A3EB2F089B d263f09c3f8a053f60243206806a2b7ba01ff70ca854748dc314c9a27048824f ed794e6f-22bb-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230789 https://www.tandfonline.com/doi/full/10.1080/10511970.2024.2352362 1 c0805967-1309-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=228812 Fakulteta za matematiko in fiziko 0 0 0