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Diagonalization of symmetric matrices over fields : Khoá luận tốt nghiệp đại học / Nguyen Thi Huyen Trang ; Asoc.Prof. Nguyen Duy Tan (Hướng dẫn khoa học)
H. : Trường Đại học Sư phạm Hà Nội 2 [phát hành], 2021
33tr. ; 29cm
Study definitions and properties of fields, definitions of matrices, and diagonalizable matrix. Through a few examples of diagonalizable matrix over fields; Introduce ordered fields and show the relationship betwwen ordering and ordered field, preordering and ordering; Introduce the Principal Axis Property and give some properties related to the Principal Axis Property. From there, determined that all symmetrical matrices can be diagonalizable in the real closed field and show how to define this field.
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