Part A: theoretical questions
1. Define a generalized integral when the integrand function is unbounded (m.s. 5pts)
2. What is the definition of linearly dependent vectors? Provide an example. (m.s. 5pts)
Part B: exercises
1. Compute:
R3 1
ˆ 2 x−2
dx, (m.s. 6pts)
R +∞
ˆ 1 (ln(x) + x−2 )dx, (m.s. 8pts)
ˆ the rank of the matrix (m.s. 6pts)

−1
A= 2
4
1
0 3
1 1
0 −3

1
5 
−2