(y - 3) (y - 6) = 0
y equals what ?
(1) x + y = y + x(2) x + (y + z) = (x + y) + z(3) There is a unique "zero vector" such that x + 0 = x for allx(4) For each x there is l), unique vector -x such that x + (-x) =0(5) 1 times x equals x(6) (c1c2)x =c1(c2x)(7) c(x + y) = cx + cy(8) (c1 + c2)x = c1x +c2x.Suppose the multiplication cx is defined to produce(cx1, 0) instead of (cx1, cx2).With the usual addition in R2, are theeight conditions satisfied?Please show work for each of the eight conditions.