6.3: The Gram-Schmidt Process
Due: Beginning of class on Monday, June 9
6-6-14
1. 6.3: # 3, 4, 7b, 9, 22, 33
2. Show that the vectors u1 = (1, 1, 1), u2 = (2, 1, 0), u3 = (4, 4, 2) form a basis for R3 .
Now use the Gram-Schmidt process to transform them i
2.1-2.3: Determinants
Due: Beginning of class on Wednesday, April 23
4-21-14
1. 2.1: #5, 21, 19ac, 18
2. 2.2: #11, 13, 21, 23, 25
3. What are the determinants
2
0
0
of the matrices:
0 0
and
3 0
0 5
2 0 0
0 0 5?
0 3 0
Draw the parallelepipeds formed by the
Written HW #6
Math 233
Due: Wednesday, May 14
1. Begin this writing assignment with a short description (1-2 paragraphs) of what it
means for V to be a vector space. What does it mean for a collection of vectors W
from V to form a subspace of V ? How do y
1.2: Gaussian Elimination
Due: Beginning of class on Monday, April 7
4-4-14
1. 1.2: # 3, 7, 17, 27, 35
3.1: #25, 31
2. Skim pages 25 31 of 1.3. Make sure you can evaluate the following sums/dierences
and determine whether or not they are dened.
(a)
1 2 3
2.1-2.3: Determinants
Due: Beginning of class on Friday, April 18
4-16-14
1. 2.2: # 11, 13, 21, 25, 27
2. In this problem, we will explore some of the equivalent conditions for a matrix to be
invertible.
(a) Let A be an n n matrix.
i. If Ax = 0 has only t
1.1: Systems of Linear Equations
Due: Beginning of class on Wednesday, April 2
3-31-14
1. Make sure you can answer the following questions. If you need help remembering how
to do these problems, you can either consult your textbook from Math 136 or skim
p
Written HW #5
Math 233
Due: Wednesday, May 7
1. For any , dene a matrix
M =
cos sin
.
sin cos
x
r cos
in polar coordinates as p =
. Write the
y
r sin
product M p in polar coordinates, and plot the vectors p and M p in the xy
plane.
(a) We can write an
Written HW #1
Math 233
Due: Wednesday, April 9
Robin Hood res an arrow from a height of 5 feet above the ground to hit the bullseye of
a target that sits 50 feet away. If the target hadnt been there, the arrow would have landed
on the ground another 25 fe
Written HW #0
Math 233
Instructions: Write a complete solution to this problem. I will grade the problem and
oer feedback, but it will not count towards your grade. This problem is due at the beginning
of class on Wednesday, April 2.
1. Let L be the line