Total : 16 points
Every question is of 4 points.
---------
Note 1: Those who have written wrong statements
are negatively graded.
---------
Note 2: Proof is never by example unless in case
of contradiction where you produce a counter
example.
---------


---------
Question 1
a) Homogeneity - 2 pts
b) Superposition - 2 pts

Question 2
-The way the polynomial space was defined-
it was little ambiguous and we expect you to
deal with it carefully. 
- finite(m+1) - 2 pts
- infinite - 2 pts
-Points given to you are based on how clear
your arguments are.

Question 3
a) Closed under addition and scaling - 3 pts
b) Dimension - 1 pts

Question 4
a) Linear independence - 2 pts
b) Span - 2 pts
----------