Determine matrices receiving given pairwise distinct real numbers as eigenvalues
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Abstract
The paper shows a method to give matrices that receive given pairwise distinct real numbers as eigenvalues. Thereby, multiple examples and exercises are provided with given answers. The method applied does not involve handheld calculator use.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
eigenvalues, similar matrices, trace of a matrix
References
Dinh, N. T., & Vo, P. H. (2019). Advanced maths A3 textbook. Viet Nam Education Publishing House.
Nguyen, T. T., Luu, T. K. H., Truong, T. T. V., & Tran, H. N. N. (2022). Orthogonally diagonalize matrices with integer eigenvalues. Journal of Science, Vinh Long University of Technology Education, 3, 61-66.
Nguyen, T. T., Truong, T. T. V., Luu, T. K. H., & Tran, H. N. N. (2022). Some methods to give exams pre-selected answers in Advanced math A3. Journal of Science, Vinh Long University of Technology Education, 6, 38-41.
Truong, T. T. V., Nguyen, T. T., & Tran, H. N. N. (2020). Determine matrices that receive given values as eigenvalues. Scientific Information, Vinh Long University of Technology Education, 3, 89-93.
Nguyen, T. T., Luu, T. K. H., Truong, T. T. V., & Tran, H. N. N. (2022). Orthogonally diagonalize matrices with integer eigenvalues. Journal of Science, Vinh Long University of Technology Education, 3, 61-66.
Nguyen, T. T., Truong, T. T. V., Luu, T. K. H., & Tran, H. N. N. (2022). Some methods to give exams pre-selected answers in Advanced math A3. Journal of Science, Vinh Long University of Technology Education, 6, 38-41.
Truong, T. T. V., Nguyen, T. T., & Tran, H. N. N. (2020). Determine matrices that receive given values as eigenvalues. Scientific Information, Vinh Long University of Technology Education, 3, 89-93.