Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two)
au=a.(x,y)=(ax+a-1,ay-2a+2)
It is known that this set with the operations defined above is a vector space.
A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2
B) show that (0,0) #0
Suggestion find a vector W such that u+w=u
C) who is the vector -u
D) show that axiom A4 holds:-u+u=0