Question: Formal Proof Question Q 7 . The zero vector plays a very important role within linear alge - bra. In this question you are going

Formal Proof Question
Q7. The zero vector plays a very important role within linear alge- bra. In this question you are going to prove two very important properties of the zero vector.
(a) The zero vector is unique. (b)Foranyvectorv in V andc in F,
0= c 0=0v .
(Note: Most of the question has been proven informally in lec- ture.)

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