International audienceWe show that a pair of matrices satisfying a certain algebraic identity, reminiscent of the binomial theorem, must have the same characteristic polynomial. This is a generalization of Problem 4 (11th grade) from the Romanian National Mathematical Olympiad 2011
AbstractWe study the well-known Sylvester equation XA − BX = R in the case when A and B are given an...
The relationship between the Jordan forms of the matrix products AB and BA for some given A and B w...
AbstractTheorems giving conditions for a pair of matrices to be reducible to a special form by a sim...
International audienceWe show that a pair of matrices satisfying a certain algebraic identity, remin...
International audienceWe show that a pair of matrices satisfying a certain algebraic identity, remin...
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific res...
AbstractGiven n×n complex matrices A and B of equal nonzero determinant (of equal trace), we discuss...
AbstractAnother, more elementary proof is given of Proposition 2.3 in a recent paper by Dietrich Bur...
Let $A$ and $B$ be $n$-by-$n$ matrices over a field. The study of the relationship between the produ...
AbstractWe give a necessary and sufficient condition for the consistency of the matrix equation X − ...
Two n x n matrices A and B can make many different matrix equations, e.g., AB = BA, AB = AA, ABA = B...
AbstractGiven matrices Ai, Bi and Ci (i∈I) of corresponding dimensions over a field F, we prove that...
AbstractThis note deals with the consistency of complex matrix equations AX − YB = C and AX − XB = C...
In 1947 Nathan Fine gave a beautiful product for the number of binomial coefficients $\binom{n}{m}$,...
AbstractPolynomials in two variables, evaluated at A and A∼ with A being a square complex matrix and...
AbstractWe study the well-known Sylvester equation XA − BX = R in the case when A and B are given an...
The relationship between the Jordan forms of the matrix products AB and BA for some given A and B w...
AbstractTheorems giving conditions for a pair of matrices to be reducible to a special form by a sim...
International audienceWe show that a pair of matrices satisfying a certain algebraic identity, remin...
International audienceWe show that a pair of matrices satisfying a certain algebraic identity, remin...
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific res...
AbstractGiven n×n complex matrices A and B of equal nonzero determinant (of equal trace), we discuss...
AbstractAnother, more elementary proof is given of Proposition 2.3 in a recent paper by Dietrich Bur...
Let $A$ and $B$ be $n$-by-$n$ matrices over a field. The study of the relationship between the produ...
AbstractWe give a necessary and sufficient condition for the consistency of the matrix equation X − ...
Two n x n matrices A and B can make many different matrix equations, e.g., AB = BA, AB = AA, ABA = B...
AbstractGiven matrices Ai, Bi and Ci (i∈I) of corresponding dimensions over a field F, we prove that...
AbstractThis note deals with the consistency of complex matrix equations AX − YB = C and AX − XB = C...
In 1947 Nathan Fine gave a beautiful product for the number of binomial coefficients $\binom{n}{m}$,...
AbstractPolynomials in two variables, evaluated at A and A∼ with A being a square complex matrix and...
AbstractWe study the well-known Sylvester equation XA − BX = R in the case when A and B are given an...
The relationship between the Jordan forms of the matrix products AB and BA for some given A and B w...
AbstractTheorems giving conditions for a pair of matrices to be reducible to a special form by a sim...
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