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A Unitary Relation Between a Matrix and its Transpose
Published online by Cambridge University Press: 20 November 2018
Extract
It is well known that if A is an n × n complex matrix and AT is its transpose, then there is an invertible n x n complex matrix S such that AT = S-1AS. In this note we wish to point out another simple relation between A and AT.
If A is an n × n complex matrix and AT is its transpose then there are unitary n × n complex matrices U and V such that AT = UAV.
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- Copyright © Canadian Mathematical Society 1970
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