EA4 Workshop questions set 1 - week of 9/29/08 1. Consider the equation dy = y n , y(0) = 1, dt where n is a positive integer. (a) Find the solution for all values of n 1. (b) Show that for n 2 the so
Discussion 17: Orthogonal Projections, Gram-Schmidt
Wednesday, November 15, 2017
10:00 AM
Orthogonal projections
Disc_17 Page 1
Why do we need an orthogonal basis in order to reconstruct a
vector as a
EA-1 Lab Project: Part 1
This Lab Project serves as an introduction to Image Processing problems and describes how
Linear Algebra concepts can be employed for their solution. This is the rst of two pa
Engineering Analysis I, Fall 2014
Midterm 2
SOLUTIONS
Section number
Section number Lecture time
20
8:00 a.m.
21
10:00 a.m.
22
11:00 a.m.
23
12:00 noon
Answer the questions in the spaces provided on t
Practice Final Exam
Engineering Analysis 1
Name
Solution
Section
Clearly circle or box your solutions.
You may leave answers as fractions, where appropriate.
1
1. (16 points total)
(a) The questions b
GEN_EN G 206-2 - ENGINEERING ANALYSIS 2
HONORS SECTION
WINTER QUARTER 2013
FEBRUARY 28, 2013
7’ MIDTERMEXAM#2' 7 7
NAME: O LUTK OMS.
Instructions:
Open this booklet only when instructed to do so
Discussion 18: Applications of Least-Squares
Monday, November 20, 2017
10:00 AM
Fitting models to data
Disc_18 Page 1
Equations
Disc_18 Page 2
Example (best-fit line to data):
Disc_18 Page 3
Example (
LINEAR ALGEBRA IN DIGITAL AUDIO
c 2003 BY RANDY A. FREEMAN
COPYRIGHT
Abstract. Basic linear algebra concepts such as linear combination, span, linear independence, basis,
dimension, rank, and orthogo
EA4 Workshop questions with answers - set 1 - week of 9/29/08 1. Consider the equation where n is a positive integer. (a) Find the solution for all values of n 1. Explain why you have to use a differe
EA4 Workshop questions set 2 - week of 10/06/08 1. Consider the equation y = y(A - y 2 ) where A is a parameter. (a) For every value of A find all critical points of (1). (b) For all values of A deter
EA 4 Workshop questions - week of 10/19/08 1. Consider a linear second order equation with constant coefficients, ay + by + cy = 0. (1)
Suppose someone tells you that they believe that y = x2 is a sol
Engineering Analysis 4 Workshop questions - week of 10/19/08 1. Consider a linear second order equation with constant coefficients, ay + by + cy = 0. (1)
Suppose someone tells you that they believe th
Engineering Analysis 4 Workshop questions - week of 10/26/08 1. Consider the forced oscillator x + x = cos 2t. (a) Find the general solution. (b) Suppose you are interested in the initial conditions x
Engineering Analysis 4 Workshop questions - week of 10/26/08 1. Consider the forced oscillator x + x = cos 2t. (1)
(a) Find the general solution. Answer - this is a straightforward review of undamped
Engineering Analysis 4 Workshop questions - week of 11/09/08 1. Give an example of a matrix which has repeated eigenvalues, but which is not defective. 2. Consider the forced system x = Ax + te2t f ,
Engineering Analysis 4 Workshop questions - week of 11/09/08 1. Give an example of a matrix which has repeated eigenvalues, but which is not defective. Answer - Defective matrices are characterized by
EA 4 Workshop questions - week of 11/17/08 1. Consider the system x y = x2 + y 2 , = x2 + y 2 . (1) (2) (a) Determine all critical points for system (1). (b) How does this critical point differ from t
EA 4 Workshop questions - week of 11/17/08 1. Consider the system x y = x2 + y 2 , = x2 + y 2 . (1) (2) (a) Determine all critical points for system (1). Answer - the only critical point is x = 0 and
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Generated by CamScanner from intsig.com
Generated by CamScanner from intsig.com
Discussion 19: Final Exam Review 1
Monday, November 27, 2017
10:00 AM
Meaning of least-squares solution
Disc_19 Page 1
Least squares example
Disc_19 Page 2
Example
Why isn't x_hat halfway between the
Discussion 16: Orthogonal Sets and Bases
Monday, November 13, 2017
10:00 AM
Column space and null space review
Disc_16 Page 1
Example
Disc_16 Page 2
Definition (orthogonal set):
Example
Example
Disc_1