Linear Regression for Vectors

Hey, Can anyone please tell me how to find the matrix of regressors X if A = XB + N where A is a column vector of size K, B is a column vector of size L and hence, X is a column vector of size K*L and N is another vector of length K. We have the vectors A and B. We need to find out X and N. Can someone give an idea?

[Daniel Shub]

What have you tried so far? What have you read?