I was giving this problem in matrix from:

X1+X3+X5=0

X2+X4+X6=0

X3+X5+X7=0

. . .

. . .

and have to put it in this form

Now after just by looking at it, "X" can be any number. I uses row reduction, even matrix algebra. Though is there a theorem or a formula that would break this down. A pattern in away to solve this. I was looking up matrices online and I was looking for something to help me out. I know how to solve a matrix...just I don't know what being asked to do.