ECE 152A Summer 2009
8/17/2009
University of California, Santa Barbara
Department of Electrical and Computer Engineering ECE 152A Digital Design Principles Homework #7 Problem #1. For the function below: F (A,B,C) = m (1,2,4,5,7) (1) Express the function

ECE 130C HW-3 Solution
April 30, 2008
1. Problem 2.1.20 (a) True (b) False(consider A + AT ) (c) True: Ax = 0andBx = 0 = (cA + dB)x = 0 2. Problem 2.1.26 C(AB) C(A) If B = 0, then C(AB) C(A) 3. Problem 2.1.28 (a) False (b) True (c) True (d) False take A =

ECE 139 Part A:
Probability and Statistics
HW#3 - Solutions
_
1.6.3 P[A] = 1/4, P[B] = 1/8, P[C] = 5/8, P[D] = 3/8, A & B are disjoint. C& D are independent. (a) A & B are disjoint. AB = P[AB] = 0 (i.e. A is a subset of Bc.) P[AB] = P[A] + P[B] = 3/8 P[AB

UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Electrical and Computer Engineering ECE 139 Probability and Statistics Spring 2008
Homework Assignment #6 (Due on Wednesday 5/21/2008 by 6 pm in the Homework Box)
Assignment: Solve the following proble

ECE130C Home Work #4 Due April 28, 2008.
Spring 07
1. Reading assignment: Read sections 2.5 and 2.6 of the text book. I will not be covering these sections in class. Instead the TAs will cover them in the discussion sessions. 2. Reading assignment: It is

UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Electrical and Computer Engineering ECE 139 Probability and Statistics Spring 2008
Homework Assignment #7 (Due on Wednesday 5/28/2008 by 6 pm in the Homework Box)
Assignment: Solve the following proble

ECE 130C Homework 4 Solution
May 3, 2007
2.3.14 The dimension of S is (a) 0 when x = 0 (b) 1 when x = (1, 1, 1, 1) (c) 3 when x = (1, 1, 1, 1) because all arrangements of this x are perpendicular to (1, 1, 1, 1) (d) 4 when the xs are not equal and dont ad

UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Electrical and Computer Engineering ECE 139 Probability and Statistics Spring 2008
Homework Assignment #8 (Due on Wednesday 6/4/2008 by 6 pm in the Homework Box)
A. Solve the following problems in the

Home Work 5 Due May 5, 2008 Three pages All sections covered in home work assignments (including this one) are included for the mid-term on May 7th. The best way to prepare is to go through the problems at the back of each section. Note: If you are having

ECE 152A Summer 2009
8/3/2009
University of California, Santa Barbara
Department of Electrical and Computer Engineering ECE 152A Digital Design Principles Homework #5 Problem #1. For the logic diagram below, complete the timing diagram. You can assume the

UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Electrical and Computer Engineering ECE 139 Probability and Statistics Spring 2008
Homework Assignment #5 (Due on Monday 5/12/2008 by 6 pm in the Homework Box)
Solve the following problems in the textb

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Home Work #1 Due on April 7th, 5 p.m. Reading assignments do not have to be turned in. 1. Reading assignment: Sections 1.1 to 1.4 of the text book. (a) Read the sections at least once. I do not know of a better writer of mathematics. The book reads like a

ECE130C
Home Work 6 Two pages. Due May 20, 2008.
Spring 08
1. Reading Assignment. Read Chapter 4 of the text book. Also browse through section 3.5 of the text book (it will not be included in the nals). 2. Suppose P is the projection matrix onto a line th

UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Electrical and Computer Engineering ECE 139 Probability and Statistics Spring 2008
Homework Assignment #1 (Due on Monday 4/7/2008 by 6 pm in the Homework Box) Problem # 1. Solve 1.2.1 in the text. Prob

ECE 130C Homework 1 Solution University of California Santa Barbara
April 22, 2008
ECE 130C Homework 1 Solution University of California Santa Barbara
April 22, 2008
ECE 130C Homework 1 Solution University of California Santa Barbara
April 22, 2008
1.3.6

ECE 130C HW-7 Solutions
June 3, 2008
Problem 4.2.12
1 a a2 1 b b2 1 c c2 1 a a2 0 b a b2 a2 0 c a c2 a2 1 b+a 1 c+a
=
= (b a)(b c)
= (b a)(c a)(c b)
Problem 4.2.16
(a) det(A) = 0 since R1 + R3 = 2R2 (b) det(A) = (1 t2 )3 after LU factorization.
Problem 4.

UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Electrical and Computer Engineering ECE 139 Probability and Statistics Spring 2008
Homework Assignment #2 (Due on Monday 4/14/2008 by 6 pm in the Homework Box)
Solve the following problems in the textb

Homework 2 Due April 14.
1. Reading assignment: Sections 1.5 (Triangular Factors and Row Exchanges), 1.6 (Inverses and Transposes), 2.1 (Vector Spaces and Subspaces) and 2.2 (Solving Ax = 0 and Ax = b) of the textbook. 2. Do problems 1.5.4, 1.5.18, 1.5.40

ECE130C
Home Work 7 Due on May 28, 2008.
Spring 08
1. Reading assignment: Chapter 4 and sections 5.1 and 5.2 of the text book. 2. Do the following problems from the text book: 4.2.12, 4.2.16, 4.3.26, 4.3.34, 4.4.38, 4.4.42, 4.4.44.
1