Homework for Chapters 1 and 2 Look Ahead I will insert due date as I cover the material Section 1.4 1.5 1.6 -1.7 4,8,10 (do as many review exercises as you have time for practice) 4,5,10,24,28 6,13,25,30,39,53 8,16,20,26,30,42 Wed. 1/19/2011 Problems 10,1
Problem 1 (20 pts)
(a) (5 pts) Dene a unitary matrix and an orthogonal matrix and describe their difference.
Answer: The difference is that the unitarity is for complex-valued matrices and the orthogonality
is for real-valued matrices. They are dened as f
MAT 167 Practice Midterm Exam
The actual exam will be conducted in class on
Wednesday Nov. 8, 2006
Name:
Student ID #:
Name of Left Neighbor:
Name of Right Neighbor:
If you are next to the aisle, then please write aisle appropriately
as your left or right
1
Score of this page:_
Problem 1 (20 pts) Suppose we are given three data points in R2 , (x, y) = (/2, 1), (0, 1), (/2, 1).
Now, we want to nd the best function to t these points in the form of y = + sin x in the
sense of the least squares.
(a) (7 pts) Wr
1
Score of this page:_
Problem 1 (20 pts) We would like to nd the best line for the given three points (0, ), (1, 1),
(2, 2) in the plane R2 in the least squares sense, where is some real-valued parameter.
(a) (6 pts) Let us write an equation of line as y
MAT 167: Homework Assignment #1 (due Monday, April 17, 2017)
First of all, do the following:
Read Chapter 1 & 2;
Given the prerequisites for this class (MAT 22A or 67) and the material outlined in the course
syllabus, the following concepts are importan