Hi, thank you for viewing this thread. My question is as follow: Suppose A is a n x m matrix and B is a m x n matrix, and we also know that the matrix B has infinite solutions, then what will the solution/s of the matix product AB be? I am thinking that it might be a matrix of infinite solutions, but is there a proof to show this case? Now suppose we let A be a n x m matrix with no solution, and the conditions for B in the previous paragraph still hold. Then what will the solution of the matrix product AB be in this case? Just wondering if there is a proof to illustrate this case again?