id: 200206024 Name Surname: ALI CAKIR
Math 265: HW01, Due:27.02.2014 / p.1
Q1. For each of the following equations with complex coefficients identify if they are linear or
not. Justify your claims.
ix + yz + (7 + i)z = i
2. i d + d y = tan(2 + 6i)
1.
3. s

id:200206024 Name Surname: ALI C
AKIR
Math 265: HW04, Due:18.03.2014 /p.1
Question 1. The null space of a matrix A is the set of all vectors of all vectors (i.e. the solution
written in vector form) that are solution to the homogeneous system with matrix

id: 200206024 Name Surname: ALI C
AKIR
Math 265: HW06, Due:01.04.2014 /p.1
Question 1. Suppose that S = cfw_v1 , v2 , v3 is linearly independent set of vectors in a vector space
V . Let w1 = v1 + v2 + v3 , w2 = v2 + v3 , w3 = v3 . Is T = cfw_w1 , w2 , w

id: 200206024 Name Surname: ALI C
AKIR
Math 265: HW07, Due:08.04.2014 /p.1
Question 1. In the vector space of all functions from R to R are the functions f (x) = ex and
g(x) = cos x linearly dependent or independent?
1 f (x) + 2 g(x) = ~0
1 ex + 2 cosx =

id:12341234 Name Surname
Math 265: HW09, Due:22.05.2014 /p.1
Question 1.
If A is n n matrix such that det(A) = 6 evaluate det(2A), det(A) and det(A2 )?
Question 2.
For what values of C are the columns of B linearly dependent?
2
3
1
1
0
3
1
0
B=
0
6
2
1