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On a Normal Form of the Orthogonal Transformation III
Published online by Cambridge University Press: 20 November 2018
Extract
Under the assumptions of case of theorem 1 we derive from (3.32) the matrix equation
so that there corresponds the matrix B to the bilinear form
4.1
on the linear space
4.2
and fP,μ, is symmetric if ɛ = (-1)μ+1, anti-symmetric if ɛ = (-1)μ.
The last statement remains true in the case a) if P is symmetric irreducible because in that case fP,μ is 0.
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- Copyright © Canadian Mathematical Society 1958
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