Expression for a general element of an matrix.
Janaki, T.M., Rangarajan, Govindan (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Properties of the determinant of a rectangular matrix”
Expression for a general element of an matrix.
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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
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Properties of the determinant of a rectangular matrix
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In this paper we present new identities for the Radić’s determinant of a rectangular matrix. The results include representations of the determinant of a rectangular matrix as a sum of determinants of square matrices and description how the determinant is affected by operations on columns such as interchanging columns, reversing columns or decomposing a single column
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A note on the matrix Haffian.
Heinz Neudecker (2000)
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This note contains a transparent presentation of the matrix Haffian. A basic theorem links this matrix and the differential ofthe matrix function under investigation, viz ∇F(X) and dF(X). Frequent use is being made of matrix derivatives as developed by Magnus and Neudecker.