Question: SOLVE THIS QUESTION BY YOUR OWN! DON'T COPY FROM ANYWHERE. ? 2. Let Vbe the set of all ordered pairs of real numbers, and consider

SOLVE THIS QUESTION BY YOUR OWN! DON'T COPY FROM ANYWHERE.

2. Let Vbe the set of all ordered pairs of real numbers, and consider the foowing addition and scalar nmltipljcation operations Du=(u1,u2} midi: (v1.1a): u+v=(231+v1+1.a=2 +V2 +1). hi: (m1, big) (a) Compute\" +7 311th fora = (0, 4): v = (1, 3), audit: 2. (b) Show that (0, 0) #0. (c) Show that( 1, 1)= 0. ((1) Show that Axiom 5 holds by producing an ordered pair -n such that u + {u) = U foru= (:31, 1:2). (e) Find two vector space axioms that fail to hold

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