Frontiers in Educational Research, 2025, 8(4); doi: 10.25236/FER.2025.080409.
Mingming Zhou, Qiong Wang, Hengzhe Li, Yingbin Ma
College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan, 453007, China
The determinant expansion theory is one of the core theories in advanced algebra. It not only provides a crucial basis for determining invertible matrices but also serves as the foundation for important theorems such as Cramer's rule. Compared to the knowledge learned in high school, the determinant expansion theorem is significantly more abstract and logically profound, often appearing esoteric and challenging for students who have just entered university. This article will delve into the intrinsic logic of determinant expansion from the perspective of functions, attempting to reinterpret determinants through a functional lens, thereby offering students a more intuitive approach to understanding.
Determinant expansion; Algebraic cofactor; Educational reform; Order permutation
Mingming Zhou, Qiong Wang, Hengzhe Li, Yingbin Ma. Exploring determinants expansions through functions. Frontiers in Educational Research(2025), Vol. 8, Issue 4: 60-65. https://doi.org/10.25236/FER.2025.080409.
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