On almost normal matrices
Х. Д. Икрамов
Abstract
Х. Д. Икрамов
Abstract
An almost normal matrix is defined as an n by n matrix having n − 1 mutually orthogonal eigenvectors. The properties of these matrices are shown to be intermediate between the properties of conventional normal matrices and those of general matrices. In particular, the Schur form of an almost normal matrix can in a certain sense be considered canonical.
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An almost normal matrix is defined as an n by n matrix having n − 1 mutually orthogonal eigenvectors. The properties of these matrices are shown to be intermediate between the properties of conventional normal matrices and those of general matrices. In particular, the Schur form of an almost normal matrix can in a certain sense be considered canonical.
Key concepts: Normal matrix, Mathematics, Eigenvalues and eigenvectors, Matrix (chemical analysis), Pure mathematics, Square root of a 2 by 2 matrix, Orthogonal matrix, Combinatorics