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A Note on Normal Matrices

Published online by Cambridge University Press:  20 November 2018

R. C. Thompson
R. C. Thompson*
Affiliation:
University of British Columbia
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Let Un be an n-dimensional unitary space with inner product (u, v). For vectors u 1, . . . , ur ∊ Un , r ≤ n, let denote the Grassmann exterior product (4) of the ut ; it is a vector in Um where m = nCr . If also , then is the determinant of the r X r matrix If A is a linear transformation of Un to itself, the rth compound of A is defined by

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963, pp. 220 - 225
Copyright
Copyright © Canadian Mathematical Society 1963

References

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4. M. Wedderburn, J. H., Lectures on matrices, Amer. Math. Soc. Colloq. Pub., 17 (1934), Chap. 5.Google Scholar