exam Maths Puzzle Numerical Ability

(1,1)
A=(0,2) find a matrix B such that C(A)=N(B)
(1,0)

i get that c(a) means column space and n(b) is a null space, but no idea how to d

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exam Other Question

There were 40 students in a hostel. If the number of students increased by 5 the expenses of the mess were increased by Rs.45 per day while the averag expenditure per head diminish Solve.

w^4-12w^2-2=0

I did a similar problem and was supposed to come up with 4 different radicals and I only came up with 2 for my answer and was told it was wrong.