Consider ordered pairs from R2 and define addition as: (x1,x2+(y1, y2)=(x1+2y1, x2+2y2) and scalar multiplication as: a(x1,x2=(2ax1,ax2) Show your work for each of the following. (a)Does the above satisfy commutativity of addition:x+y=y+x? (b)Does the above satisfy associativity of addition:(x+y)+z=x+(y+x)? (c)Identity element of addition: =R^2 so that x, x+=x (d)Does it satisfy the distributive law for scalar multiplication:a R,a(x+y)=ax+ay? (e)Identity element of multiplication: aR so that x,ax=x?