Research ArticleOpen AccessGoogle Scholar indexed
The Geometric Meaning of Several Concepts in Linear Algebra
Nanchang Normal University, Nanchang, China
Nanchang Normal University, Nanchang, China
- 1 Nanchang Normal University, Nanchang, China
- 2 Nanchang Normal University, Nanchang, China
Creative Education·Volume 12 (2021)·Pages 2881–2885·Published 6 December 2021·DOI10.4236/ce.2021.1212215
Copy link · social · email
Abstract
Linear algebra is a relatively abstract science. Through the geometric explanation of several algebraic concepts, this article strives to make these concepts easy to understand in teaching. Through the visualization of concepts such as determinants, linear transformations and eigenvalues, this course has changed from abstract equations to concrete geometric shapes in the teaching process, so as to achieve the purpose of improving the teaching effect.
KeywordsAlgebra TeachingDeterminantLinear TransformationEigenvaluesGeometric Meaning
- Ding, J., & Rhee, N. H. (2011). On the Equality of Algebraic and Geometric Multiplicities of Matrix Eigenvalues. Applied Mathematics Letters, 24, 2211-2215. https://doi.org/10.1016/j.aml.2011.06.030
- Guo, M., Hou, X., Ma, Y. et al. (2016). Facial Expression Recognition Using ELBP Based on Covariance Matrix Transform in KLT. Multimedia Tools & Applications, 76, 1-16. https://doi.org/10.1007/s11042-016-3282-9
- Shakir, M. Z., Rao, A., & Alouini, M. S. (2011). Collaborative Spectrum Sensing Based on the Ratio between Largest Eigenvalue and Geometric Mean of Eigenvalues. GLOBECOM Workshops (GC Wkshps), Houston, 5-9 December 2011. https://doi.org/10.1109/GLOCOMW.2011.6162590
- White, J., Costilow, K., Dotson, J. et al. (2021). Guided-Inquiry Experiment for Teaching the Calibration Method of Standard Addition in the Analysis of Lead with Graphite Furnace Atomic Absorption Spectroscopy. Journal of Chemical Education, 98, 620-625. https://doi.org/10.1021/acs.jchemed.0c00433
- Yildiz, M., & Senel, M. (2017). Teaching Grammar through Task-Based Language Teaching to Young EFL Learners. The Reading Matrix, 17, 196-209.