We study the following question: suppose that A and ℬ are two algebras of complex n × n matrices such that the ring commutator [A, B] = AB – BA is "small" for each A ∈ A and B ∈ ℬ; does this imply ...

The objectives of this course are: to develop competence in the basic concepts of linear algebra, including systems of linear equations, vector spaces, subspaces, linear transformations, the ...

https://doi.org/10.4169/amer.math.monthly.119.01.065 https://www.jstor.org/stable/10.4169/amer.math.monthly.119.01.065 Abstract We compute the minimal cardinalities ...