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On the Roots of a Symmetrical Determinant

Published online by Cambridge University Press:  31 October 2008

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The six values of x which make the determinant

vanish, are . In general, the n values of x which make the corresponding determinant of order n vanish are given by . Each determinnant has a diagonal filled with x's, bordered by adjacent parallels where each element is unity; and all other elements are zero.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1930