AbstractNecessary and sufficient conditions are presented for a square matrix A over a general field F to be the product of two unipotent matrices of index 2. This generalizes a result established by Wang and Wu (1991) [4] for the case where F is the complex field
AbstractLet F be any field. Let A11 be a matrix of Fp×p and let f be a monic polynomial of F[x] of d...
AbstractWe show that an n × n complex matrix T is the product of two unipotent matrices of index 2 i...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
AbstractWe show that an n × n complex matrix T is the product of two unipotent matrices of index 2 i...
AbstractIn this short paper, we study some trace inequalities of the products of the matrices and th...
AbstractLet p=(x−β)(x−β−1)∈K[x] where β2≠β−2 and let V be a finite-dimensional vector space over the...
AbstractGiven an arbitrary field K and non-zero scalars α and β, we give necessary and sufficient co...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractThirty years ago, G. N. de Oliveira has proposed the following completion problems: Describe...
AbstractLet r, s be coprime integers, s>1 and odd. The characteristic polynomials of the matricessin...
We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices...
AbstractIn this short paper, we give a complete and affirmative answer to a conjecture on matrix tra...
AbstractLet F be a field. In [Djokovic, Product of two involutions, Arch. Math. 18 (1967) 582–584] i...
AbstractWe continue the studies of multi-index variants of the classical Hausdorff theorem on moment...
AbstractLet F be any field. Let A11 be a matrix of Fp×p and let f be a monic polynomial of F[x] of d...
AbstractWe show that an n × n complex matrix T is the product of two unipotent matrices of index 2 i...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
AbstractThe problem to express an n×n matrix A as the sum of two square-zero matrices was first inve...
AbstractWe show that an n × n complex matrix T is the product of two unipotent matrices of index 2 i...
AbstractIn this short paper, we study some trace inequalities of the products of the matrices and th...
AbstractLet p=(x−β)(x−β−1)∈K[x] where β2≠β−2 and let V be a finite-dimensional vector space over the...
AbstractGiven an arbitrary field K and non-zero scalars α and β, we give necessary and sufficient co...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractThirty years ago, G. N. de Oliveira has proposed the following completion problems: Describe...
AbstractLet r, s be coprime integers, s>1 and odd. The characteristic polynomials of the matricessin...
We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices...
AbstractIn this short paper, we give a complete and affirmative answer to a conjecture on matrix tra...
AbstractLet F be a field. In [Djokovic, Product of two involutions, Arch. Math. 18 (1967) 582–584] i...
AbstractWe continue the studies of multi-index variants of the classical Hausdorff theorem on moment...
AbstractLet F be any field. Let A11 be a matrix of Fp×p and let f be a monic polynomial of F[x] of d...
AbstractWe show that an n × n complex matrix T is the product of two unipotent matrices of index 2 i...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
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