Re: [math-fun] Name for matrices whose rows & columns both sum to zero ?

Woops! At least one of these equations is redundant, so perhaps the dimension is n^2-2n-1 = (n-1)^2. (This part is obvious: take a random (n-1)x(n-1) matrix & pad it with one additional row & column, which consists of -row sums and -column sums.) At 05:21 PM 4/28/2013, Henry Baker wrote:

Is there a name for matrices whose rows & columns both sum to zero ?

What about _square_ matrices of this type ?

Clearly, there are n^2 unknowns and 2n equations, so the nxn matrices have dimension n^2-2n = n(n-2).