You need to take the System.out.println
out of the second for loop. Also, you can do away with the first for loop.
int maxRow = 0;
int playNum = 0;
for(int row = 0;row < score.length;row++)
{
int rowTotal = 0;
for(int col = 0;col < score[row].length;col++)
{
rowTotal += score[row][col];
}
if(rowTotal>maxRow)
{
playNum = row;
maxRow = rowTotal;
}
}
System.out.println("Player " + (playNum + 1) + " is victorious with a score of " + maxRow);