Given matrices A and B, show that the row vectors of AB are in the row space of B an the column vectors of AB are in the column space of A
Just matrix multiplication, reduced row echelon form, and leading one's for row and columns
The Attempt at a Solution
I am unsure if I need to find the two separate matrices, or if this is just a general problem.
I understand what they are asking, but I am unsure of how to find the right matrices, and what it means to be "in" the row and column vectors. I think it means that they are in the correct rows and columns from the respective single matrices A and B.