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タイトル: A New Approach to Determinants
著者: Yamazaki, Isamu
キーワード: definition of determinants
linear algebra
n-hisha selection
発行日: Mar-2002
出版者: The Committee for Research and International Relations, Tsukuba College of Technology
誌名: TCT Education of Disabilities
巻: 1
開始ページ: 17
終了ページ: 24
抄録: A new approach to determinants is proposed. Compared to the standard approach, which requires students to understand permutations and transpositions, the new approach adopts more intuitive ideas named n-hisha selection and right-upward relation. The n-hisha selection is a selection of n positions from n by n matrix under the condition that every selected position is alone in its row and its column. By this approach, the principal properties of determinants can be derived relatively easily. For example, the fact that "the determinant of a transposed matrix is equal to that of the original matrix," is the direct consequence of this definition, because the definition itself is symmetrical regarding its diagonal line. Adopting this approach in lectures of elementary mathematics for freshmen of Tsukuba College of Technology resulted in saving two lecture periods and two accompanying exercise periods, or saving 320 minutes in total.
URI: http://hdl.handle.net/10460/99
出現コレクション:Vol. 1

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