Determine matrices receiving given pairwise distinct real numbers as eigenvalues

Thi Thuy Van Truong1, Thi Kieu Huong Luu2, Thanh Toan Nguyen1, Hoai Ngoc Nhan Tran1,
1 Faculty of Basic Sciences, Vinh Long University of Technology Education, Vietnam
2 Faculty of Basic, Vinh Long College, Vietnam

Main Article Content

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

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.