Determine matrices receiving given pairwise distinct real numbers as eigenvalues

Truong Thi Thuy Van1, Luu Thi Kieu Huong2, Nguyen Thanh Toan1, Tran Hoai Ngoc Nhan1,
1 Faculty of Basic Sciences, Vinh Long University of Technology Education, Vietnam
2 Faculty of Basic, Vinh Long College, Vietnam

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Tóm tắt

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.

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Tài liệu tham khảo

Dinh, N. T., & Vo, P. H. (2019). Advanced maths A3 textbook. Viet Nam Education Publishing House.
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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.