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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 u1, . . . , 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

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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3. Price, G. B., Some identities in the theory of determinants, Amer. Math. Monthly, 64 (1947), 75–90.Google Scholar
4. M. Wedderburn, J. H., Lectures on matrices, Amer. Math. Soc. Colloq. Pub., 17 (1934), Chap. 5.Google Scholar