On a Normal Form of the Orthogonal Transformation III
- 1 September 1958
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 1 (3) , 183-191
- https://doi.org/10.4153/cmb-1958-021-6
Abstract
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.Keywords
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