Spring 2014
Math 601
Name:
Quiz 7
Question 1. (4 pts)
Determine whether each of the following statements is true or false. You do NOT need
to explain.
(a) If A is an n n matrix with all entries being
Spring 2014
Math 601
Name:
Quiz 4
Question 1. (8 pts)
Determine whether the following statements are true or false. If false, explain why.
(a) V is a vector space of dimension n and S is a set of vect
Spring 2014
Math 601
Name:
Quiz 3
Question 1. (12 pts)
Determine if the given subset is a subspace of the corresponding vector space. (Show
work!).
(a) (4 pts) The subset of R3 :
W = cfw_v R3 | v (1,
Math 601 Midterm 1
Name:
This exam has 9 questions, for a total of 100 points.
Please answer each question in the space provided. You need to write full solutions.
Answers without justication will not
Spring 2014
Math 601
Name:
Quiz 1
Question 1. (12 pts)
(a) (6 pts) Find equations of the line L that passes through the point A(1, 0, 4, 3) and
is perpendicular to the plane x1 + x2 + x3 + x4 = 1.
Sol
Spring 2014
Math 601
Name:
Quiz 5
Question 1. (10 pts)
Let F : R2 R2 be the linear transformation dened by
F (x, y) = (3x + 4y, 4x + 3y).
Find the matrix representation of F with respect to the basis
Spring 2014
Math 601
Name:
Quiz 6
Question 1. (6 pts)
Determine whether each of the following statements is true or false. You do NOT need
to explain.
(a) If S is an orthogonal set of nonzero vectors,
Math 601 Final (sample test)
Name:
This exam has 11 questions, for a total of 150 points.
Please answer each question in the space provided. Please write full solutions, not just
answers. Cross out an
Spring 2014
Math 601
Name:
Quiz 9
Question 1. (10 pts)
Evaluate the integral
C
z 2 + sin z
dz
z 2 7z + 6
(a) when C is the circle |z 6| = 2, that is, the circle centered at 6 with radius 2.
Solution:
Spring 2014
Math 601
Name:
Quiz 8
Question 1. (10 pts)
(a) Determine whether the function f (z) = x2 y 2 + 2x + i(2xy + 2y) is analytic on C.
Solution: f (z) = x2 y 2 + 2x + i(2xy + 2y). So the real p
Spring 2014
Math 601
Name:
Quiz 2
Question 1. (10 pts)
Solve the following linear system
2x + 8y + 4z = 2
2x + 5y + z = 5
4x + 10y z = 1
Solution: Set up the augmented coecient matrix
2 8 4 2
2 5 1 5