sufficient condition for boundedness the solution set of the interval matrix equation ax = b

This note tries to study the interval matrix equation ax = b, where a is a known square interval matrix of dimension m × m, b is a rectangular interval matrix of dimension m × n, while the unknown matrix x is also of dimension m × n. first some properties of the solution set of the mentioned interval matrix equation is given and then we present a sufficientcondition under which this solution set is bounded. the importance of the given sufficient condition is in this point that a solution set can be enclosed only when it is bounded.