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IRRATIONALITY OF LINEAR-COMBINATIONS OF EIGENVECTORS
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UNSPECIFIED (1995) IRRATIONALITY OF LINEAR-COMBINATIONS OF EIGENVECTORS. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 105 (3). pp. 269-271. ISSN 0370-0089.
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Abstract
A given n x n matrix of rational numbers acts on C-n and on Q(n). We assume that its characteristic polynomial is irreducible and compare a basis of eigenvectors for C-n with the standard basis for Q(n). Subject to a hypothesis on the Galois group we prove that vectors from these two bases are as independent of each other as possible.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | ||||
Publisher: | INDIAN ACADEMY SCIENCES | ||||
ISSN: | 0370-0089 | ||||
Official Date: | August 1995 | ||||
Dates: |
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Volume: | 105 | ||||
Number: | 3 | ||||
Number of Pages: | 3 | ||||
Page Range: | pp. 269-271 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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